40743633634704 has 320 divisors, whose sum is σ = 157022863226880. Its totient is φ = 9768703265280.

The previous prime is 40743633634699. The next prime is 40743633634723.

40743633634704 is a `hidden beast` number, since 40 + 7 + 43 + 6 + 33 + 63 + 470 + 4 = 666.

40743633634704 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40743633634704² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46677442 + ... + 47542305.

It is an arithmetic number, because the mean of its divisors is an integer number (490696447584).

Almost surely, 2^{40743633634704} is an apocalyptic number.

40743633634704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40743633634704 is an abundant number, since it is smaller than the sum of its proper divisors (116279229592176).

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

40743633634704 is a wasteful number, since it uses less digits than its factorization.

40743633634704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94219795 (or 94219783 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 54.

The spelling of 40743633634704 in words is "forty trillion, seven hundred forty-three billion, six hundred thirty-three million, six hundred thirty-four thousand, seven hundred four".