1932131940480 has 1024 divisors, whose sum is σ = 8043090048000. Its totient is φ = 429150044160.

The previous prime is 1932131940467. The next prime is 1932131940509. The reversal of 1932131940480 is 840491312391.

1932131940480 is a `hidden beast` number, since 1 + 9 + 32 + 131 + 9 + 4 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1572116506 + ... + 1572117734.

It is an arithmetic number, because the mean of its divisors is an integer number (7854580125).

Almost surely, 2^{1932131940480} is an apocalyptic number.

1932131940480 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 1932131940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021545024000).

1932131940480 is an abundant number, since it is smaller than the sum of its proper divisors (6110958107520).

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

1932131940480 is a wasteful number, since it uses less digits than its factorization.

1932131940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1932131940480 in words is "one trillion, nine hundred thirty-two billion, one hundred thirty-one million, nine hundred forty thousand, four hundred eighty".