401434015400 has 96 divisors (see below), whose sum is σ = 1021020811200. Its totient is φ = 145569100800.

The previous prime is 401434015391. The next prime is 401434015517. The reversal of 401434015400 is 4510434104.

It is a happy number.

It is a super-3 number, since 3×401434015400³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 401434015400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535664 + ... + 1043936.

It is an arithmetic number, because the mean of its divisors is an integer number (10635633450).

Almost surely, 2^401434015400 is an apocalyptic number.

401434015400 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 401434015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510510405600).

401434015400 is an abundant number, since it is smaller than the sum of its proper divisors (619586795800).

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

401434015400 is a wasteful number, since it uses less digits than its factorization.

401434015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508659 (or 508650 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 401434015400 its reverse (4510434104), we get a palindrome (405944449504).

The spelling of 401434015400 in words is "four hundred one billion, four hundred thirty-four million, fifteen thousand, four hundred".