1112414400 has 252 divisors, whose sum is σ = 4016275432. Its totient is φ = 291962880.

The previous prime is 1112414383. The next prime is 1112414411. The reversal of 1112414400 is 44142111.

1112414400 = T₉₀₆₄ + T₉₀₆₅ + ... + T₉₀₉₀.

It is a super-3 number, since 3×1112414400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 964224 + ... + 965376.

Almost surely, 2^1112414400 is an apocalyptic number.

1112414400 is a gapful number since it is divisible by the number (10) 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 1112414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008137716).

1112414400 is an abundant number, since it is smaller than the sum of its proper divisors (2903861032).

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

1112414400 is a wasteful number, since it uses less digits than its factorization.

1112414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1112414400 is about 33352.8769373798. The cubic root of 1112414400 is about 1036.1489725796.

Adding to 1112414400 its reverse (44142111), we get a palindrome (1156556511).

The spelling of 1112414400 in words is "one billion, one hundred twelve million, four hundred fourteen thousand, four hundred".