400516054189632 has 336 divisors, whose sum is σ = 1156876226288640. Its totient is φ = 132477454900224.

The previous prime is 400516054189631. The next prime is 400516054189733. The reversal of 400516054189632 is 236981450615004.

400516054189632 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 1 + 6 + 0 + 541 + 8 + 96 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (400516054189631) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 129911141563 + ... + 129911144645.

Almost surely, 2^{400516054189632} 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 400516054189632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578438113144320).

400516054189632 is an abundant number, since it is smaller than the sum of its proper divisors (756360172099008).

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

400516054189632 is a wasteful number, since it uses less digits than its factorization.

400516054189632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 400516054189632 in words is "four hundred trillion, five hundred sixteen billion, fifty-four million, one hundred eighty-nine thousand, six hundred thirty-two".