1114538040 has 384 divisors, whose sum is σ = 4665323520. Its totient is φ = 223948800.

The previous prime is 1114538023. The next prime is 1114538041. The reversal of 1114538040 is 408354111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1114537995 and 1114538013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114538041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 858672 + ... + 859968.

It is an arithmetic number, because the mean of its divisors is an integer number (12149280).

Almost surely, 2^1114538040 is an apocalyptic number.

1114538040 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 1114538040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332661760).

1114538040 is an abundant number, since it is smaller than the sum of its proper divisors (3550785480).

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

1114538040 is a wasteful number, since it uses less digits than its factorization.

1114538040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1114538040 is about 33384.6976922062. The cubic root of 1114538040 is about 1036.8079022817.

The spelling of 1114538040 in words is "one billion, one hundred fourteen million, five hundred thirty-eight thousand, forty".