401818959360 has 1280 divisors, whose sum is σ = 1771106641920. Its totient is φ = 84085309440.

The previous prime is 401818959337. The next prime is 401818959391. The reversal of 401818959360 is 63959818104.

401818959360 is a `hidden beast` number, since 40 + 1 + 8 + 1 + 8 + 9 + 593 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×401818959360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 401818959297 and 401818959306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1213954395 + ... + 1213954725.

It is an arithmetic number, because the mean of its divisors is an integer number (1383677064).

Almost surely, 2^401818959360 is an apocalyptic number.

401818959360 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 401818959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885553320960).

401818959360 is an abundant number, since it is smaller than the sum of its proper divisors (1369287682560).

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

401818959360 is a wasteful number, since it uses less digits than its factorization.

401818959360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 401818959360 in words is "four hundred one billion, eight hundred eighteen million, nine hundred fifty-nine thousand, three hundred sixty".