401857478400 has 864 divisors, whose sum is σ = 1689476866560. Its totient is φ = 81891164160.

The previous prime is 401857478387. The next prime is 401857478411. The reversal of 401857478400 is 4874758104.

It is a super-2 number, since 2×401857478400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 401857478400.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 43406572 + ... + 43415828.

It is an arithmetic number, because the mean of its divisors is an integer number (1955413040).

Almost surely, 2^401857478400 is an apocalyptic number.

401857478400 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 401857478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844738433280).

401857478400 is an abundant number, since it is smaller than the sum of its proper divisors (1287619388160).

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

401857478400 is a wasteful number, since it uses less digits than its factorization.

401857478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9329 (or 9310 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 401857478400 in words is "four hundred one billion, eight hundred fifty-seven million, four hundred seventy-eight thousand, four hundred".