401261232960 has 336 divisors, whose sum is σ = 1631732169600. Its totient is φ = 88554074112.

The previous prime is 401261232947. The next prime is 401261232961. The reversal of 401261232960 is 69232162104.

It is a happy number.

401261232960 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 612 + 32 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×401261232960² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401261232961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241471 + ... + 927809.

Almost surely, 2^401261232960 is an apocalyptic number.

401261232960 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 401261232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815866084800).

401261232960 is an abundant number, since it is smaller than the sum of its proper divisors (1230470936640).

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

401261232960 is a wasteful number, since it uses less digits than its factorization.

401261232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686398 (or 686385 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 401261232960 in words is "four hundred one billion, two hundred sixty-one million, two hundred thirty-two thousand, nine hundred sixty".