252460194071040 has 240 divisors, whose sum is σ = 880131004099776. Its totient is φ = 66876871680000.

The previous prime is 252460194071039. The next prime is 252460194071077. The reversal of 252460194071040 is 40170491064252.

252460194071040 is a `hidden beast` number, since 2 + 5 + 24 + 601 + 9 + 4 + 0 + 7 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×252460194071040² (a number of 30 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 32803986 + ... + 39762065.

Almost surely, 2^{252460194071040} is an apocalyptic number.

252460194071040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252460194071040 is an abundant number, since it is smaller than the sum of its proper divisors (627670810028736).

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

252460194071040 is a wasteful number, since it uses less digits than its factorization.

252460194071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72566231 (or 72566212 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 252460194071040 in words is "two hundred fifty-two trillion, four hundred sixty billion, one hundred ninety-four million, seventy-one thousand, forty".