40959377395904 has 56 divisors (see below), whose sum is σ = 88675346499600. Its totient is φ = 18616302305280.

The previous prime is 40959377395901. The next prime is 40959377395907.

40959377395904 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (40959377395901) and next prime (40959377395907).

It is a super-4 number, since 4×40959377395904⁴ (a number of 56 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (40959377395901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5740352 + ... + 10717760.

It is an arithmetic number, because the mean of its divisors is an integer number (1583488330350).

Almost surely, 2^{40959377395904} is an apocalyptic number.

40959377395904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40959377395904 is an abundant number, since it is smaller than the sum of its proper divisors (47715969103696).

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

40959377395904 is a wasteful number, since it uses less digits than its factorization.

40959377395904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989121 (or 4989111 counting only the distinct ones).

The product of its (nonzero) digits is 1157360400, while the sum is 74.

The spelling of 40959377395904 in words is "forty trillion, nine hundred fifty-nine billion, three hundred seventy-seven million, three hundred ninety-five thousand, nine hundred four".