200400414432 has 48 divisors (see below), whose sum is σ = 526871922192. Its totient is φ = 66695905280.

The previous prime is 200400414391. The next prime is 200400414437. The reversal of 200400414432 is 234414004002.

It is a happy number.

200400414432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×200400414432² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200400414437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1566783 + ... + 1689854.

It is an arithmetic number, because the mean of its divisors is an integer number (10976498379).

Almost surely, 2^200400414432 is an apocalyptic number.

It is an amenable number.

200400414432 is an abundant number, since it is smaller than the sum of its proper divisors (326471507760).

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

200400414432 is a wasteful number, since it uses less digits than its factorization.

200400414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257291 (or 3257283 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 200400414432 its reverse (234414004002), we get a palindrome (434814418434).

The spelling of 200400414432 in words is "two hundred billion, four hundred million, four hundred fourteen thousand, four hundred thirty-two".