400427868865024 has 3840 divisors, whose sum is σ = 1283813190696960. Its totient is φ = 121732595712000.

The previous prime is 400427868865019. The next prime is 400427868865039. The reversal of 400427868865024 is 420568868724004.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2550495979954 + ... + 2550495980110.

It is an arithmetic number, because the mean of its divisors is an integer number (334326351744).

Almost surely, 2^{400427868865024} is an apocalyptic number.

400427868865024 is a gapful number since it is divisible by the number (44) 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 400427868865024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641906595348480).

400427868865024 is an abundant number, since it is smaller than the sum of its proper divisors (883385321831936).

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

400427868865024 is a wasteful number, since it uses less digits than its factorization.

400427868865024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 64.

The spelling of 400427868865024 in words is "four hundred trillion, four hundred twenty-seven billion, eight hundred sixty-eight million, eight hundred sixty-five thousand, twenty-four".