401767372800 has 864 divisors, whose sum is σ = 1532124594000. Its totient is φ = 100329062400.

The previous prime is 401767372759. The next prime is 401767372817. The reversal of 401767372800 is 8273767104.

It is a super-2 number, since 2×401767372800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 954316590 + ... + 954317010.

Almost surely, 2^401767372800 is an apocalyptic number.

401767372800 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 401767372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766062297000).

401767372800 is an abundant number, since it is smaller than the sum of its proper divisors (1130357221200).

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

401767372800 is a wasteful number, since it uses less digits than its factorization.

401767372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 401767372800 in words is "four hundred one billion, seven hundred sixty-seven million, three hundred seventy-two thousand, eight hundred".