4120234400400 has 120 divisors (see below), whose sum is σ = 13319571629760. Its totient is φ = 1088649054720.

The previous prime is 4120234400371. The next prime is 4120234400453. The reversal of 4120234400400 is 40044320214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15619332 + ... + 15880931.

It is an arithmetic number, because the mean of its divisors is an integer number (110996430248).

Almost surely, 2^{4120234400400} is an apocalyptic number.

4120234400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120234400400 is an abundant number, since it is smaller than the sum of its proper divisors (9199337229360).

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

4120234400400 is a wasteful number, since it uses less digits than its factorization.

4120234400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31500393 (or 31500382 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4120234400400 its reverse (40044320214), we get a palindrome (4160278720614).

The spelling of 4120234400400 in words is "four trillion, one hundred twenty billion, two hundred thirty-four million, four hundred thousand, four hundred".