1140378624 has 264 divisors, whose sum is σ = 4107886848. Its totient is φ = 296017920.

The previous prime is 1140378623. The next prime is 1140378697. The reversal of 1140378624 is 4268730411.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×1140378624² = 2600926812152266752, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1140378623) 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, 708829 + ... + 710435.

Almost surely, 2^1140378624 is an apocalyptic number.

1140378624 is a gapful number since it is divisible by the number (14) 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 1140378624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053943424).

1140378624 is an abundant number, since it is smaller than the sum of its proper divisors (2967508224).

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

1140378624 is a wasteful number, since it uses less digits than its factorization.

1140378624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1140378624 is about 33769.4925043300. The cubic root of 1140378624 is about 1044.7595652673.

The spelling of 1140378624 in words is "one billion, one hundred forty million, three hundred seventy-eight thousand, six hundred twenty-four".