401175040000 has 520 divisors, whose sum is σ = 1167662828288. Its totient is φ = 134922240000.

The previous prime is 401175039949. The next prime is 401175040033. The reversal of 401175040000 is 40571104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1093119817 + ... + 1093120183.

Almost surely, 2^401175040000 is an apocalyptic number.

401175040000 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 401175040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583831414144).

401175040000 is an abundant number, since it is smaller than the sum of its proper divisors (766487788288).

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

401175040000 is an frugal number, since it uses more digits than its factorization.

401175040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The spelling of 401175040000 in words is "four hundred one billion, one hundred seventy-five million, forty thousand".