401796129048192 has 512 divisors, whose sum is σ = 1242837352166400. Its totient is φ = 129286466371584.

The previous prime is 401796129048173. The next prime is 401796129048203. The reversal of 401796129048192 is 291840921697104.

401796129048192 is a `hidden beast` number, since 4 + 0 + 1 + 7 + 9 + 61 + 2 + 9 + 0 + 481 + 92 = 666.

It is a super-2 number, since 2×401796129048192² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960251248 + ... + 960669584.

It is an arithmetic number, because the mean of its divisors is an integer number (2427416703450).

Almost surely, 2^{401796129048192} 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 401796129048192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621418676083200).

401796129048192 is an abundant number, since it is smaller than the sum of its proper divisors (841041223118208).

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

401796129048192 is an frugal number, since it uses more digits than its factorization.

401796129048192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418492 (or 418462 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 401796129048192 in words is "four hundred one trillion, seven hundred ninety-six billion, one hundred twenty-nine million, forty-eight thousand, one hundred ninety-two".