401346546405056 has 336 divisors, whose sum is σ = 968945644934400. Its totient is φ = 161543483965440.

The previous prime is 401346546405047. The next prime is 401346546405067. The reversal of 401346546405056 is 650504645643104.

It is a super-2 number, since 2×401346546405056² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401346546404989 and 401346546405007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224592358595 + ... + 224592360381.

It is an arithmetic number, because the mean of its divisors is an integer number (2883766800400).

Almost surely, 2^{401346546405056} 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 401346546405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484472822467200).

401346546405056 is an abundant number, since it is smaller than the sum of its proper divisors (567599098529344).

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

401346546405056 is a wasteful number, since it uses less digits than its factorization.

401346546405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 53.

The spelling of 401346546405056 in words is "four hundred one trillion, three hundred forty-six billion, five hundred forty-six million, four hundred five thousand, fifty-six".