40007438673762 has 16 divisors (see below), whose sum is σ = 91445574111552. Its totient is φ = 11430696763920.

The previous prime is 40007438673737. The next prime is 40007438673767. The reversal of 40007438673762 is 26737683470004.

40007438673762 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-6 number, since 6×40007438673762⁶ (a number of 83 digits) contains 666666 as substring.

It is not an unprimeable number, because it can be changed into a prime (40007438673767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476279031789 + ... + 476279031872.

It is an arithmetic number, because the mean of its divisors is an integer number (5715348381972).

Almost surely, 2^{40007438673762} is an apocalyptic number.

40007438673762 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

40007438673762 is an abundant number, since it is smaller than the sum of its proper divisors (51438135437790).

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

40007438673762 is a wasteful number, since it uses less digits than its factorization.

40007438673762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952558063673.

The product of its (nonzero) digits is 28449792, while the sum is 57.

The spelling of 40007438673762 in words is "forty trillion, seven billion, four hundred thirty-eight million, six hundred seventy-three thousand, seven hundred sixty-two".