1114953840 has 1080 divisors, whose sum is σ = 5447986128. Its totient is φ = 201277440.

The previous prime is 1114953809. The next prime is 1114953863. The reversal of 1114953840 is 483594111.

1114953840 is a `hidden beast` number, since 1 + 114 + 9 + 538 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1114953795 and 1114953804.

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 215 ways as a sum of consecutive naturals, for example, 65585512 + ... + 65585528.

It is a vampire number, since it can be written as 19110 ⋅ 58344 (with its own digits).

Almost surely, 2^1114953840 is an apocalyptic number.

1114953840 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 1114953840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723993064).

1114953840 is an abundant number, since it is smaller than the sum of its proper divisors (4333032288).

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

1114953840 is a wasteful number, since it uses less digits than its factorization.

1114953840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1114953840 is about 33390.9245155027. The cubic root of 1114953840 is about 1036.9368200069.

The spelling of 1114953840 in words is "one billion, one hundred fourteen million, nine hundred fifty-three thousand, eight hundred forty".