401334552000 has 168 divisors, whose sum is σ = 1435640839152. Its totient is φ = 107022528000.

The previous prime is 401334551963. The next prime is 401334552029. The reversal of 401334552000 is 255433104.

401334552000 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 3 + 455 + 200 + 0 = 666.

It is a super-2 number, since 2×401334552000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2715046 + ... + 2859045.

Almost surely, 2^401334552000 is an apocalyptic number.

401334552000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401334552000 is an abundant number, since it is smaller than the sum of its proper divisors (1034306287152).

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

401334552000 is a wasteful number, since it uses less digits than its factorization.

401334552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574124 (or 5574101 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 401334552000 its reverse (255433104), we get a palindrome (401589985104).

The spelling of 401334552000 in words is "four hundred one billion, three hundred thirty-four million, five hundred fifty-two thousand".