402440400400 has 120 divisors (see below), whose sum is σ = 1002455910144. Its totient is φ = 155096025600.

The previous prime is 402440400389. The next prime is 402440400403. The reversal of 402440400400 is 4004044204.

It is a super-2 number, since 2×402440400400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (402440400403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2743314 + ... + 2886286.

Almost surely, 2^402440400400 is an apocalyptic number.

402440400400 is a gapful number since it is divisible by the number (40) 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 402440400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501227955072).

402440400400 is an abundant number, since it is smaller than the sum of its proper divisors (600015509744).

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

402440400400 is a wasteful number, since it uses less digits than its factorization.

402440400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143249 (or 143238 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 402440400400 its reverse (4004044204), we get a palindrome (406444444604).

The spelling of 402440400400 in words is "four hundred two billion, four hundred forty million, four hundred thousand, four hundred".