1112408640 has 280 divisors, whose sum is σ = 4523061312. Its totient is φ = 254223360.

The previous prime is 1112408629. The next prime is 1112408641. The reversal of 1112408640 is 468042111.

It is a happy number.

1112408640 is a `hidden beast` number, since 1 + 1 + 12 + 4 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is not an unprimeable number, because it can be changed into a prime (1112408641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178375 + ... + 184505.

Almost surely, 2^1112408640 is an apocalyptic number.

1112408640 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 1112408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261530656).

1112408640 is an abundant number, since it is smaller than the sum of its proper divisors (3410652672).

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

1112408640 is an equidigital number, since it uses as much as digits as its factorization.

1112408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1112408640 is about 33352.7905878953. The cubic root of 1112408640 is about 1036.1471842088.

The spelling of 1112408640 in words is "one billion, one hundred twelve million, four hundred eight thousand, six hundred forty".