401506541568 has 168 divisors, whose sum is σ = 1265279273856. Its totient is φ = 121668403200.

The previous prime is 401506541539. The next prime is 401506541573. The reversal of 401506541568 is 865145605104.

401506541568 is a `hidden beast` number, since 4 + 0 + 1 + 50 + 6 + 541 + 56 + 8 = 666.

It is a super-2 number, since 2×401506541568² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563473 + ... + 1058543.

Almost surely, 2^401506541568 is an apocalyptic number.

401506541568 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 401506541568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632639636928).

401506541568 is an abundant number, since it is smaller than the sum of its proper divisors (863772732288).

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

401506541568 is a wasteful number, since it uses less digits than its factorization.

401506541568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495114 (or 495087 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 401506541568 in words is "four hundred one billion, five hundred six million, five hundred forty-one thousand, five hundred sixty-eight".