402401413200 has 240 divisors, whose sum is σ = 1364491149120. Its totient is φ = 101196963840.

The previous prime is 402401413199. The next prime is 402401413261. The reversal of 402401413200 is 2314104204.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1361944 + ... + 1630856.

It is an arithmetic number, because the mean of its divisors is an integer number (5685379788).

Almost surely, 2^402401413200 is an apocalyptic number.

402401413200 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 402401413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682245574560).

402401413200 is an abundant number, since it is smaller than the sum of its proper divisors (962089735920).

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

402401413200 is a wasteful number, since it uses less digits than its factorization.

402401413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269006 (or 268995 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 402401413200 its reverse (2314104204), we get a palindrome (404715517404).

The spelling of 402401413200 in words is "four hundred two billion, four hundred one million, four hundred thirteen thousand, two hundred".