1114460640 has 192 divisors, whose sum is σ = 3938699520. Its totient is φ = 294289920.

The previous prime is 1114460597. The next prime is 1114460681. The reversal of 1114460640 is 460644111.

1114460640 is a `hidden beast` number, since 1 + 1 + 14 + 4 + 6 + 0 + 640 = 666.

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 31 ways as a sum of consecutive naturals, for example, 461035 + ... + 463445.

It is an arithmetic number, because the mean of its divisors is an integer number (20514060).

Almost surely, 2^1114460640 is an apocalyptic number.

1114460640 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 1114460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969349760).

1114460640 is an abundant number, since it is smaller than the sum of its proper divisors (2824238880).

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

1114460640 is a wasteful number, since it uses less digits than its factorization.

1114460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2528 counting only the distinct ones).

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

The square root of 1114460640 is about 33383.5384583480. The cubic root of 1114460640 is about 1036.7839010703.

The spelling of 1114460640 in words is "one billion, one hundred fourteen million, four hundred sixty thousand, six hundred forty".