40628735617770 has 96 divisors (see below), whose sum is σ = 111622811788800. Its totient is φ = 10232090998272.

The previous prime is 40628735617721. The next prime is 40628735617837. The reversal of 40628735617770 is 7771653782604.

40628735617770 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 8 + 7 + 3 + 5 + 617 + 7 + 7 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40628735617698 and 40628735617707.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124060575 + ... + 124387634.

It is an arithmetic number, because the mean of its divisors is an integer number (1162737622800).

Almost surely, 2^{40628735617770} is an apocalyptic number.

40628735617770 is an abundant number, since it is smaller than the sum of its proper divisors (70994076171030).

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

40628735617770 is a wasteful number, since it uses less digits than its factorization.

40628735617770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248448324 (or 248448321 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 40628735617770 in words is "forty trillion, six hundred twenty-eight billion, seven hundred thirty-five million, six hundred seventeen thousand, seven hundred seventy".