402040414002344 has 128 divisors (see below), whose sum is σ = 830700277747200. Its totient is φ = 181255437158400.

The previous prime is 402040414002263. The next prime is 402040414002433. The reversal of 402040414002344 is 443200414040204.

It is a super-2 number, since 2×402040414002344² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 402040414002344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11506906427 + ... + 11506941365.

It is an arithmetic number, because the mean of its divisors is an integer number (6489845919900).

Almost surely, 2^{402040414002344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402040414002344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415350138873600).

402040414002344 is an abundant number, since it is smaller than the sum of its proper divisors (428659863744856).

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

402040414002344 is a wasteful number, since it uses less digits than its factorization.

402040414002344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39523 (or 39519 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 402040414002344 its reverse (443200414040204), we get a palindrome (845240828042548).

The spelling of 402040414002344 in words is "four hundred two trillion, forty billion, four hundred fourteen million, two thousand, three hundred forty-four".