1140413120 has 224 divisors, whose sum is σ = 3497250816. Its totient is φ = 343756800.

The previous prime is 1140413101. The next prime is 1140413143. The reversal of 1140413120 is 213140411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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, 763094 + ... + 764586.

Almost surely, 2^1140413120 is an apocalyptic number.

1140413120 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 1140413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748625408).

1140413120 is an abundant number, since it is smaller than the sum of its proper divisors (2356837696).

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

1140413120 is a wasteful number, since it uses less digits than its factorization.

1140413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1140413120 is about 33770.0032573288. The cubic root of 1140413120 is about 1044.7700996816.

Adding to 1140413120 its reverse (213140411), we get a palindrome (1353553531).

The spelling of 1140413120 in words is "one billion, one hundred forty million, four hundred thirteen thousand, one hundred twenty".