401506588800 has 384 divisors, whose sum is σ = 1471556856000. Its totient is φ = 106911498240.

The previous prime is 401506588741. The next prime is 401506588837. The reversal of 401506588800 is 8885605104.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×401506588800² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66438579 + ... + 66444621.

Almost surely, 2^401506588800 is an apocalyptic number.

401506588800 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 401506588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735778428000).

401506588800 is an abundant number, since it is smaller than the sum of its proper divisors (1070050267200).

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

401506588800 is a wasteful number, since it uses less digits than its factorization.

401506588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 401506588800 in words is "four hundred one billion, five hundred six million, five hundred eighty-eight thousand, eight hundred".