1140414672 has 160 divisors (see below), whose sum is σ = 3239792640. Its totient is φ = 344227840.

The previous prime is 1140414659. The next prime is 1140414683. The reversal of 1140414672 is 2764140411.

It is a super-2 number, since 2×1140414672² = 2601091248225735168, which contains 22 as substring.

It is a congruent number.

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, 2977393 + ... + 2977775.

It is an arithmetic number, because the mean of its divisors is an integer number (20248704).

Almost surely, 2^1140414672 is an apocalyptic number.

1140414672 is a gapful number since it is divisible by the number (12) 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 1140414672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619896320).

1140414672 is an abundant number, since it is smaller than the sum of its proper divisors (2099377968).

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

1140414672 is a wasteful number, since it uses less digits than its factorization.

1140414672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1140414672 is about 33770.0262362942. The cubic root of 1140414672 is about 1044.7705736275.

The spelling of 1140414672 in words is "one billion, one hundred forty million, four hundred fourteen thousand, six hundred seventy-two".