4492131840 has 720 divisors, whose sum is σ = 18993525408. Its totient is φ = 976453632.

The previous prime is 4492131803. The next prime is 4492131841. The reversal of 4492131840 is 481312944.

It is a happy number.

4492131840 is a `hidden beast` number, since 449 + 2 + 131 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 4492131795 and 4492131804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4492131841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25965994 + ... + 25966166.

Almost surely, 2^4492131840 is an apocalyptic number.

4492131840 is a gapful number since it is divisible by the number (40) 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 4492131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9496762704).

4492131840 is an abundant number, since it is smaller than the sum of its proper divisors (14501393568).

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

4492131840 is a wasteful number, since it uses less digits than its factorization.

4492131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4492131840 is about 67023.3678652453. The cubic root of 4492131840 is about 1650.0008374651. Note that the first 3 decimals are identical.

The spelling of 4492131840 in words is "four billion, four hundred ninety-two million, one hundred thirty-one thousand, eight hundred forty".