31925053440 has 1152 divisors, whose sum is σ = 139089000960. Its totient is φ = 6606028800.

The previous prime is 31925053421. The next prime is 31925053441. The reversal of 31925053440 is 4435052913.

31925053440 is a `hidden beast` number, since 31 + 9 + 2 + 50 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 31925053395 and 31925053404.

It is not an unprimeable number, because it can be changed into a prime (31925053441) 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, 449648605 + ... + 449648675.

It is an arithmetic number, because the mean of its divisors is an integer number (120736980).

Almost surely, 2^31925053440 is an apocalyptic number.

31925053440 is a gapful number since it is divisible by the number (30) 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 31925053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69544500480).

31925053440 is an abundant number, since it is smaller than the sum of its proper divisors (107163947520).

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

31925053440 is a wasteful number, since it uses less digits than its factorization.

31925053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 31925053440 in words is "thirty-one billion, nine hundred twenty-five million, fifty-three thousand, four hundred forty".