40079214237964 has 24 divisors (see below), whose sum is σ = 78983084952576. Its totient is φ = 17630152890000.

The previous prime is 40079214237961. The next prime is 40079214237983. The reversal of 40079214237964 is 46973241297004.

It is a happy number.

40079214237964 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-3 number, since 3×40079214237964³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40079214237899 and 40079214237908.

It is not an unprimeable number, because it can be changed into a prime (40079214237961) 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, 14691792712 + ... + 14691795439.

It is an arithmetic number, because the mean of its divisors is an integer number (3290961873024).

Almost surely, 2^{40079214237964} is an apocalyptic number.

40079214237964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40079214237964 is a deficient number, since it is larger than the sum of its proper divisors (38903870714612).

40079214237964 is a wasteful number, since it uses less digits than its factorization.

40079214237964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29383588197 (or 29383588195 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 58.

The spelling of 40079214237964 in words is "forty trillion, seventy-nine billion, two hundred fourteen million, two hundred thirty-seven thousand, nine hundred sixty-four".