40376909569464 has 384 divisors, whose sum is σ = 129395133504000. Its totient is φ = 11254472875008.

The previous prime is 40376909569397. The next prime is 40376909569519. The reversal of 40376909569464 is 46496590967304.

40376909569464 is a `hidden beast` number, since 4 + 0 + 3 + 76 + 9 + 0 + 95 + 6 + 9 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40376909569392 and 40376909569401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1447550302 + ... + 1447578194.

It is an arithmetic number, because the mean of its divisors is an integer number (336966493500).

Almost surely, 2^{40376909569464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40376909569464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64697566752000).

40376909569464 is an abundant number, since it is smaller than the sum of its proper divisors (89018223934536).

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

40376909569464 is a wasteful number, since it uses less digits than its factorization.

40376909569464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31499 (or 31492 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 40376909569464 in words is "forty trillion, three hundred seventy-six billion, nine hundred nine million, five hundred sixty-nine thousand, four hundred sixty-four".