1114151040 has 192 divisors, whose sum is σ = 3906077760. Its totient is φ = 292571136.

The previous prime is 1114151011. The next prime is 1114151047. The reversal of 1114151040 is 401514111.

1114151040 is a `hidden beast` number, since 1 + 114 + 1 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1114151047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384477 + ... + 387363.

It is an arithmetic number, because the mean of its divisors is an integer number (20344155).

Almost surely, 2^1114151040 is an apocalyptic number.

1114151040 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 1114151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953038880).

1114151040 is an abundant number, since it is smaller than the sum of its proper divisors (2791926720).

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

1114151040 is a wasteful number, since it uses less digits than its factorization.

1114151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1114151040 is about 33378.9011203185. The cubic root of 1114151040 is about 1036.6878851105.

Adding to 1114151040 its reverse (401514111), we get a palindrome (1515665151).

The spelling of 1114151040 in words is "one billion, one hundred fourteen million, one hundred fifty-one thousand, forty".