401336032727040 has 416 divisors, whose sum is σ = 1366774208649216. Its totient is φ = 100200056094720.

The previous prime is 401336032727027. The next prime is 401336032727051. The reversal of 401336032727040 is 40727230633104.

It is a super-2 number, since 2×401336032727040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401336032726983 and 401336032727001.

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, 198489804 + ... + 200501556.

Almost surely, 2^{401336032727040} is an apocalyptic number.

401336032727040 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 401336032727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683387104324608).

401336032727040 is an abundant number, since it is smaller than the sum of its proper divisors (965438175922176).

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

401336032727040 is a wasteful number, since it uses less digits than its factorization.

401336032727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011993 (or 2011971 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 401336032727040 in words is "four hundred one trillion, three hundred thirty-six billion, thirty-two million, seven hundred twenty-seven thousand, forty".