401266412760 has 128 divisors (see below), whose sum is σ = 1224686304000. Its totient is φ = 105149185536.

The previous prime is 401266412753. The next prime is 401266412773. The reversal of 401266412760 is 67214662104.

It is a super-2 number, since 2×401266412760² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20585979 + ... + 20605461.

It is an arithmetic number, because the mean of its divisors is an integer number (9567861750).

Almost surely, 2^401266412760 is an apocalyptic number.

401266412760 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 401266412760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612343152000).

401266412760 is an abundant number, since it is smaller than the sum of its proper divisors (823419891240).

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

401266412760 is a wasteful number, since it uses less digits than its factorization.

401266412760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22465 (or 22461 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 401266412760 in words is "four hundred one billion, two hundred sixty-six million, four hundred twelve thousand, seven hundred sixty".