40400966652480 has 1680 divisors, whose sum is σ = 182046800548800. Its totient is φ = 8446661959680.

The previous prime is 40400966652419. The next prime is 40400966652493. The reversal of 40400966652480 is 8425666900404.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 699785215 + ... + 699842945.

Almost surely, 2^{40400966652480} is an apocalyptic number.

40400966652480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40400966652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91023400274400).

40400966652480 is an abundant number, since it is smaller than the sum of its proper divisors (141645833896320).

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

40400966652480 is a wasteful number, since it uses less digits than its factorization.

40400966652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57822 (or 57796 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 40400966652480 in words is "forty trillion, four hundred billion, nine hundred sixty-six million, six hundred fifty-two thousand, four hundred eighty".