4112644400 has 120 divisors (see below), whose sum is σ = 10290049728. Its totient is φ = 1578240000.

The previous prime is 4112644381. The next prime is 4112644433. The reversal of 4112644400 is 44462114.

4112644400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4112644400.

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, 998345 + ... + 1002455.

Almost surely, 2^4112644400 is an apocalyptic number.

4112644400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145024864).

4112644400 is an abundant number, since it is smaller than the sum of its proper divisors (6177405328).

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

4112644400 is a wasteful number, since it uses less digits than its factorization.

4112644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 4112644400 is about 64129.9025416381. The cubic root of 4112644400 is about 1602.1643106130.

The spelling of 4112644400 in words is "four billion, one hundred twelve million, six hundred forty-four thousand, four hundred".