4112242400 has 72 divisors (see below), whose sum is σ = 11473171920. Its totient is φ = 1409909760.

The previous prime is 4112242391. The next prime is 4112242417. The reversal of 4112242400 is 42422114.

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, 361565 + ... + 372764.

It is an arithmetic number, because the mean of its divisors is an integer number (159349610).

Almost surely, 2^4112242400 is an apocalyptic number.

4112242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4112242400 is an abundant number, since it is smaller than the sum of its proper divisors (7360929520).

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

4112242400 is a wasteful number, since it uses less digits than its factorization.

4112242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734356 (or 734343 counting only the distinct ones).

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

The square root of 4112242400 is about 64126.7682017424. The cubic root of 4112242400 is about 1602.1121064854.

Adding to 4112242400 its reverse (42422114), we get a palindrome (4154664514).

The spelling of 4112242400 in words is "four billion, one hundred twelve million, two hundred forty-two thousand, four hundred".