401621680275408 has 240 divisors, whose sum is σ = 1161883372740480. Its totient is φ = 129434946278400.

The previous prime is 401621680275407. The next prime is 401621680275421. The reversal of 401621680275408 is 804572086126104.

401621680275408 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 2 + 16 + 80 + 2 + 7 + 540 + 8 = 666.

It is a super-2 number, since 2×401621680275408² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401621680275407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6479723778 + ... + 6479785758.

It is an arithmetic number, because the mean of its divisors is an integer number (4841180719752).

Almost surely, 2^{401621680275408} is an apocalyptic number.

401621680275408 is a gapful number since it is divisible by the number (48) 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 401621680275408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580941686370240).

401621680275408 is an abundant number, since it is smaller than the sum of its proper divisors (760261692465072).

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

401621680275408 is a wasteful number, since it uses less digits than its factorization.

401621680275408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74618 (or 74609 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 401621680275408 in words is "four hundred one trillion, six hundred twenty-one billion, six hundred eighty million, two hundred seventy-five thousand, four hundred eight".