4002442400 has 72 divisors (see below), whose sum is σ = 10659255264. Its totient is φ = 1455430400.

The previous prime is 4002442399. The next prime is 4002442439. The reversal of 4002442400 is 42442004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218612 + ... + 236211.

It is an arithmetic number, because the mean of its divisors is an integer number (148045212).

Almost surely, 2^4002442400 is an apocalyptic number.

4002442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002442400 is an abundant number, since it is smaller than the sum of its proper divisors (6656812864).

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

4002442400 is a wasteful number, since it uses less digits than its factorization.

4002442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454854 (or 454841 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4002442400 is about 63264.8591241615. The cubic root of 4002442400 is about 1587.7240752586.

Adding to 4002442400 its reverse (42442004), we get a palindrome (4044884404).

The spelling of 4002442400 in words is "four billion, two million, four hundred forty-two thousand, four hundred".