401764016472 has 512 divisors, whose sum is σ = 1288750848000. Its totient is φ = 101583175680.

The previous prime is 401764016377. The next prime is 401764016543. The reversal of 401764016472 is 274610467104.

It is a super-2 number, since 2×401764016472² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1060063179 + ... + 1060063557.

It is an arithmetic number, because the mean of its divisors is an integer number (2517091500).

Almost surely, 2^401764016472 is an apocalyptic number.

401764016472 is a gapful number since it is divisible by the number (42) 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 401764016472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644375424000).

401764016472 is an abundant number, since it is smaller than the sum of its proper divisors (886986831528).

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

401764016472 is a wasteful number, since it uses less digits than its factorization.

401764016472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 401764016472 in words is "four hundred one billion, seven hundred sixty-four million, sixteen thousand, four hundred seventy-two".