402445513200 has 240 divisors, whose sum is σ = 1363120532480. Its totient is φ = 101213245440.

The previous prime is 402445513153. The next prime is 402445513213. The reversal of 402445513200 is 2315544204.

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

It is a super-2 number, since 2×402445513200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5044824 + ... + 5123976.

Almost surely, 2^402445513200 is an apocalyptic number.

402445513200 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 402445513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681560266240).

402445513200 is an abundant number, since it is smaller than the sum of its proper divisors (960675019280).

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

402445513200 is a wasteful number, since it uses less digits than its factorization.

402445513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79416 (or 79405 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 402445513200 in words is "four hundred two billion, four hundred forty-five million, five hundred thirteen thousand, two hundred".