4112942400 has 1008 divisors, whose sum is σ = 18311774400. Its totient is φ = 894136320.

The previous prime is 4112942387. The next prime is 4112942423. The reversal of 4112942400 is 42492114.

It is a happy number.

4112942400 is a `hidden beast` number, since 411 + 2 + 9 + 4 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61387167 + ... + 61387233.

Almost surely, 2^4112942400 is an apocalyptic number.

4112942400 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 4112942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9155887200).

4112942400 is an abundant number, since it is smaller than the sum of its proper divisors (14198832000).

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

4112942400 is a wasteful number, since it uses less digits than its factorization.

4112942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4112942400 is about 64132.2259086647. The cubic root of 4112942400 is about 1602.2030069996.

The spelling of 4112942400 in words is "four billion, one hundred twelve million, nine hundred forty-two thousand, four hundred".