4400142042400 has 72 divisors (see below), whose sum is σ = 11568142693044. Its totient is φ = 1624667827200.

The previous prime is 4400142042383. The next prime is 4400142042421. The reversal of 4400142042400 is 42402410044.

It can be written as a sum of positive squares in 6 ways, for example, as 2110476751504 + 2289665290896 = 1452748^2 + 1513164^2 .

It is a super-2 number, since 2×4400142042400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 211534891 + ... + 211555690.

Almost surely, 2^{4400142042400} is an apocalyptic number.

4400142042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400142042400 is an abundant number, since it is smaller than the sum of its proper divisors (7168000650644).

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

4400142042400 is a wasteful number, since it uses less digits than its factorization.

4400142042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423090614 (or 423090601 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 4400142042400 its reverse (42402410044), we get a palindrome (4442544452444).

The spelling of 4400142042400 in words is "four trillion, four hundred billion, one hundred forty-two million, forty-two thousand, four hundred".