401815022400 has 504 divisors, whose sum is σ = 1596002099328. Its totient is φ = 95032320000.

The previous prime is 401815022393. The next prime is 401815022407. The reversal of 401815022400 is 4220518104.

401815022400 is a `hidden beast` number, since 40 + 1 + 81 + 502 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (401815022393) and next prime (401815022407).

It is a super-2 number, since 2×401815022400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401815022407) 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 71 ways as a sum of consecutive naturals, for example, 6463465 + ... + 6525335.

It is an arithmetic number, because the mean of its divisors is an integer number (3166670832).

Almost surely, 2^401815022400 is an apocalyptic number.

401815022400 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 401815022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798001049664).

401815022400 is an abundant number, since it is smaller than the sum of its proper divisors (1194187076928).

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

401815022400 is a wasteful number, since it uses less digits than its factorization.

401815022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61951 (or 61933 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 401815022400 in words is "four hundred one billion, eight hundred fifteen million, twenty-two thousand, four hundred".