401131234419552 has 3456 divisors, whose sum is σ = 1681158055449600. Its totient is φ = 89187185590272.

The previous prime is 401131234419541. The next prime is 401131234419599. The reversal of 401131234419552 is 255914432131104.

401131234419552 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 31 + 23 + 4 + 41 + 9 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 401131234419498 and 401131234419507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 121297619883 + ... + 121297623189.

It is an arithmetic number, because the mean of its divisors is an integer number (486446196600).

Almost surely, 2^{401131234419552} is an apocalyptic number.

401131234419552 is a gapful number since it is divisible by the number (42) 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 401131234419552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840579027724800).

401131234419552 is an abundant number, since it is smaller than the sum of its proper divisors (1280026821030048).

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

401131234419552 is a wasteful number, since it uses less digits than its factorization.

401131234419552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 401131234419552 in words is "four hundred one trillion, one hundred thirty-one billion, two hundred thirty-four million, four hundred nineteen thousand, five hundred fifty-two".