40630524757056 has 1344 divisors, whose sum is σ = 136997602560000. Its totient is φ = 11408178806784.

The previous prime is 40630524757049. The next prime is 40630524757063. The reversal of 40630524757056 is 65075742503604.

40630524757056 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 0 + 52 + 475 + 70 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (40630524757049) and next prime (40630524757063).

It is a junction number, because it is equal to n+sod(n) for n = 40630524756993 and 40630524757011.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113176949005 + ... + 113176949363.

It is an arithmetic number, because the mean of its divisors is an integer number (101932740000).

Almost surely, 2^{40630524757056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40630524757056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68498801280000).

40630524757056 is an abundant number, since it is smaller than the sum of its proper divisors (96367077802944).

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

40630524757056 is a wasteful number, since it uses less digits than its factorization.

40630524757056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 40630524757056 in words is "forty trillion, six hundred thirty billion, five hundred twenty-four million, seven hundred fifty-seven thousand, fifty-six".