401591645280 has 384 divisors, whose sum is σ = 1608063528960. Its totient is φ = 91695421440.

The previous prime is 401591645263. The next prime is 401591645281. The reversal of 401591645280 is 82546195104.

401591645280 is a `hidden beast` number, since 4 + 0 + 1 + 591 + 6 + 4 + 52 + 8 + 0 = 666.

It is a super-2 number, since 2×401591645280² (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 not an unprimeable number, because it can be changed into a prime (401591645281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30868537 + ... + 30881543.

It is an arithmetic number, because the mean of its divisors is an integer number (4187665440).

Almost surely, 2^401591645280 is an apocalyptic number.

401591645280 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 401591645280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804031764480).

401591645280 is an abundant number, since it is smaller than the sum of its proper divisors (1206471883680).

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

401591645280 is a wasteful number, since it uses less digits than its factorization.

401591645280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14059 (or 14045 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 401591645280 in words is "four hundred one billion, five hundred ninety-one million, six hundred forty-five thousand, two hundred eighty".