1253041440 has 192 divisors, whose sum is σ = 4776516864. Its totient is φ = 269549568.

The previous prime is 1253041429. The next prime is 1253041463. The reversal of 1253041440 is 441403521.

It is a super-2 number, since 2×1253041440² = 3140225700714547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1253041440.

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, 46152 + ... + 68088.

It is an arithmetic number, because the mean of its divisors is an integer number (24877692).

Almost surely, 2^1253041440 is an apocalyptic number.

1253041440 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 1253041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388258432).

1253041440 is an abundant number, since it is smaller than the sum of its proper divisors (3523475424).

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

1253041440 is a wasteful number, since it uses less digits than its factorization.

1253041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21979 (or 21971 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1253041440 is about 35398.3253841195. The cubic root of 1253041440 is about 1078.0903152211.

Adding to 1253041440 its reverse (441403521), we get a palindrome (1694444961).

The spelling of 1253041440 in words is "one billion, two hundred fifty-three million, forty-one thousand, four hundred forty".