402034414304 has 48 divisors (see below), whose sum is σ = 836238170880. Its totient is φ = 189734555520.

The previous prime is 402034414303. The next prime is 402034414307. The reversal of 402034414304 is 403414430204.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402034414303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055234 + ... + 1384769.

It is an arithmetic number, because the mean of its divisors is an integer number (17421628560).

Almost surely, 2^402034414304 is an apocalyptic number.

It is an amenable number.

402034414304 is an abundant number, since it is smaller than the sum of its proper divisors (434203756576).

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

402034414304 is a wasteful number, since it uses less digits than its factorization.

402034414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440303 (or 2440295 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 402034414304 its reverse (403414430204), we get a palindrome (805448844508).

The spelling of 402034414304 in words is "four hundred two billion, thirty-four million, four hundred fourteen thousand, three hundred four".