102325582440 has 384 divisors, whose sum is σ = 356440780800. Its totient is φ = 25401600000.

The previous prime is 102325582421. The next prime is 102325582481. The reversal of 102325582440 is 44285523201.

102325582440 is a `hidden beast` number, since 1 + 0 + 2 + 32 + 5 + 582 + 4 + 40 = 666.

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 = 102325582395 and 102325582404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136252065 + ... + 136252815.

It is an arithmetic number, because the mean of its divisors is an integer number (928231200).

Almost surely, 2^102325582440 is an apocalyptic number.

102325582440 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 102325582440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178220390400).

102325582440 is an abundant number, since it is smaller than the sum of its proper divisors (254115198360).

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

102325582440 is a wasteful number, since it uses less digits than its factorization.

102325582440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 102325582440 in words is "one hundred two billion, three hundred twenty-five million, five hundred eighty-two thousand, four hundred forty".