400116635520 has 256 divisors, whose sum is σ = 1458661754880. Its totient is φ = 91386593280.

The previous prime is 400116635519. The next prime is 400116635521. The reversal of 400116635520 is 25536611004.

It is an interprime number because it is at equal distance from previous prime (400116635519) and next prime (400116635521).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400116635521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19114660 + ... + 19135580.

It is an arithmetic number, because the mean of its divisors is an integer number (5697897480).

Almost surely, 2^400116635520 is an apocalyptic number.

400116635520 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 400116635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729330877440).

400116635520 is an abundant number, since it is smaller than the sum of its proper divisors (1058545119360).

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

400116635520 is a wasteful number, since it uses less digits than its factorization.

400116635520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22373 (or 22361 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 400116635520 in words is "four hundred billion, one hundred sixteen million, six hundred thirty-five thousand, five hundred twenty".