4114042400 has 72 divisors (see below), whose sum is σ = 10816003044. Its totient is φ = 1519027200.

The previous prime is 4114042369. The next prime is 4114042411. The reversal of 4114042400 is 42404114.

It is a happy number.

4114042400 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 31854736 + 4082187664 = 5644^2 + 63892^2 .

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, 187391 + ... + 208190.

Almost surely, 2^4114042400 is an apocalyptic number.

4114042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114042400 is an abundant number, since it is smaller than the sum of its proper divisors (6701960644).

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

4114042400 is a wasteful number, since it uses less digits than its factorization.

4114042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395614 (or 395601 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4114042400 is about 64140.8013669926. The cubic root of 4114042400 is about 1602.3458298290.

Adding to 4114042400 its reverse (42404114), we get a palindrome (4156446514).

The spelling of 4114042400 in words is "four billion, one hundred fourteen million, forty-two thousand, four hundred".