1113661440 has 448 divisors, whose sum is σ = 4246473600. Its totient is φ = 276037632.

The previous prime is 1113661433. The next prime is 1113661489. The reversal of 1113661440 is 441663111.

1113661440 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 6 + 614 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21012454 + ... + 21012506.

Almost surely, 2^1113661440 is an apocalyptic number.

1113661440 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 1113661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123236800).

1113661440 is an abundant number, since it is smaller than the sum of its proper divisors (3132812160).

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

1113661440 is an equidigital number, since it uses as much as digits as its factorization.

1113661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1113661440 is about 33371.5663402244. The cubic root of 1113661440 is about 1036.5360096059.

The spelling of 1113661440 in words is "one billion, one hundred thirteen million, six hundred sixty-one thousand, four hundred forty".