402444004040 has 64 divisors (see below), whose sum is σ = 977405410800. Its totient is φ = 148251451392.

The previous prime is 402444004033. The next prime is 402444004051. The reversal of 402444004040 is 40400444204.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34439194084 + 368004809956 = 185578^2 + 606634^2 .

It is a super-2 number, since 2×402444004040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668525 + ... + 1118844.

Almost surely, 2^402444004040 is an apocalyptic number.

402444004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402444004040 is an abundant number, since it is smaller than the sum of its proper divisors (574961406760).

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

402444004040 is a wasteful number, since it uses less digits than its factorization.

402444004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787826 (or 1787822 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 402444004040 its reverse (40400444204), we get a palindrome (442844448244).

The spelling of 402444004040 in words is "four hundred two billion, four hundred forty-four million, four thousand, forty".