4023004120400 has 60 divisors (see below), whose sum is σ = 10233812557692. Its totient is φ = 1514542725120.

The previous prime is 4023004120391. The next prime is 4023004120433. The reversal of 4023004120400 is 40214003204.

4023004120400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 480809107216 + 3542195013184 = 693404^2 + 1882072^2 .

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

It is a congruent number.

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, 295802327 + ... + 295815926.

Almost surely, 2^{4023004120400} is an apocalyptic number.

4023004120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4023004120400 is an abundant number, since it is smaller than the sum of its proper divisors (6210808437292).

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

4023004120400 is a wasteful number, since it uses less digits than its factorization.

4023004120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591618288 (or 591618277 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4023004120400 its reverse (40214003204), we get a palindrome (4063218123604).

The spelling of 4023004120400 in words is "four trillion, twenty-three billion, four million, one hundred twenty thousand, four hundred".