402340302144 has 980 divisors, whose sum is σ = 1430752739200. Its totient is φ = 111778444800.

The previous prime is 402340302139. The next prime is 402340302151. The reversal of 402340302144 is 441203043204.

It is a happy number.

402340302144 is a `hidden beast` number, since 4 + 0 + 2 + 340 + 302 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 12978719409 + ... + 12978719439.

Almost surely, 2^402340302144 is an apocalyptic number.

402340302144 is a gapful number since it is divisible by the number (44) 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 402340302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715376369600).

402340302144 is an abundant number, since it is smaller than the sum of its proper divisors (1028412437056).

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

402340302144 is an frugal number, since it uses more digits than its factorization.

402340302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 402340302144 its reverse (441203043204), we get a palindrome (843543345348).

The spelling of 402340302144 in words is "four hundred two billion, three hundred forty million, three hundred two thousand, one hundred forty-four".