401772275712 has 360 divisors, whose sum is σ = 1266737922450. Its totient is φ = 126856544256.

The previous prime is 401772275701. The next prime is 401772275713. The reversal of 401772275712 is 217572277104.

401772275712 is a `hidden beast` number, since 4 + 0 + 1 + 7 + 72 + 2 + 7 + 571 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 317662995456 + 84109280256 = 563616^2 + 290016^2 .

It is a super-2 number, since 2×401772275712² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401772275713) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 59882214 + ... + 59888922.

Almost surely, 2^401772275712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401772275712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633368961225).

401772275712 is an abundant number, since it is smaller than the sum of its proper divisors (864965646738).

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

401772275712 is an equidigital number, since it uses as much as digits as its factorization.

401772275712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The spelling of 401772275712 in words is "four hundred one billion, seven hundred seventy-two million, two hundred seventy-five thousand, seven hundred twelve".