40455952976400 has 240 divisors, whose sum is σ = 142966634133120. Its totient is φ = 9715500748800.

The previous prime is 40455952976377. The next prime is 40455952976429. The reversal of 40455952976400 is 467925955404.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30986380 + ... + 32265579.

It is an arithmetic number, because the mean of its divisors is an integer number (595694308888).

Almost surely, 2^{40455952976400} is an apocalyptic number.

40455952976400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40455952976400 is an abundant number, since it is smaller than the sum of its proper divisors (102510681156720).

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

40455952976400 is a wasteful number, since it uses less digits than its factorization.

40455952976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63252034 (or 63252023 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 60.

The spelling of 40455952976400 in words is "forty trillion, four hundred fifty-five billion, nine hundred fifty-two million, nine hundred seventy-six thousand, four hundred".