401232165434100 has 864 divisors, whose sum is σ = 1734216916513536. Its totient is φ = 74879620300800.

The previous prime is 401232165434099. The next prime is 401232165434123. The reversal of 401232165434100 is 1434561232104.

401232165434100 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 3 + 2 + 1 + 6 + 543 + 4 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27314812 + ... + 39351788.

It is an arithmetic number, because the mean of its divisors is an integer number (2007195505224).

Almost surely, 2^{401232165434100} 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 401232165434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867108458256768).

401232165434100 is an abundant number, since it is smaller than the sum of its proper divisors (1332984751079436).

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

401232165434100 is a wasteful number, since it uses less digits than its factorization.

401232165434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12037065 (or 12037055 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 401232165434100 in words is "four hundred one trillion, two hundred thirty-two billion, one hundred sixty-five million, four hundred thirty-four thousand, one hundred".