102474253440 has 1280 divisors, whose sum is σ = 425473171200. Its totient is φ = 23290675200.

The previous prime is 102474253417. The next prime is 102474253457. The reversal of 102474253440 is 44352474201.

102474253440 is a `hidden beast` number, since 1 + 0 + 2 + 47 + 42 + 534 + 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 = 102474253395 and 102474253404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 678637365 + ... + 678637515.

It is an arithmetic number, because the mean of its divisors is an integer number (332400915).

Almost surely, 2^102474253440 is an apocalyptic number.

102474253440 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 102474253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212736585600).

102474253440 is an abundant number, since it is smaller than the sum of its proper divisors (322998917760).

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

102474253440 is a wasteful number, since it uses less digits than its factorization.

102474253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 102474253440 in words is "one hundred two billion, four hundred seventy-four million, two hundred fifty-three thousand, four hundred forty".