1992133440 has 672 divisors, whose sum is σ = 8267785344. Its totient is φ = 451215360.

The previous prime is 1992133433. The next prime is 1992133447. The reversal of 1992133440 is 443312991.

1992133440 is a `hidden beast` number, since 199 + 21 + 3 + 3 + 440 = 666.

1992133440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1992133433) and next prime (1992133447).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1992133395 and 1992133404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992133447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14541052 + ... + 14541188.

It is an arithmetic number, because the mean of its divisors is an integer number (12303252).

Almost surely, 2^1992133440 is an apocalyptic number.

1992133440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1992133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133892672).

1992133440 is an abundant number, since it is smaller than the sum of its proper divisors (6275651904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1992133440 is a wasteful number, since it uses less digits than its factorization.

1992133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1992133440 is about 44633.3220811537. The cubic root of 1992133440 is about 1258.2670052998.

It can be divided in two parts, 19921 and 33440, that added together give a square (53361 = 231²).

The spelling of 1992133440 in words is "one billion, nine hundred ninety-two million, one hundred thirty-three thousand, four hundred forty".