1053037440 has 768 divisors, whose sum is σ = 4678128000. Its totient is φ = 216760320.

The previous prime is 1053037429. The next prime is 1053037441. The reversal of 1053037440 is 447303501.

It is a super-2 number, since 2×1053037440² = 2217775700083507200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053037441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25683820 + ... + 25683860.

Almost surely, 2^1053037440 is an apocalyptic number.

1053037440 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 1053037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339064000).

1053037440 is an abundant number, since it is smaller than the sum of its proper divisors (3625090560).

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

1053037440 is a wasteful number, since it uses less digits than its factorization.

1053037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 1053037440 is about 32450.5383622522. The cubic root of 1053037440 is about 1017.3754904020.

The spelling of 1053037440 in words is "one billion, fifty-three million, thirty-seven thousand, four hundred forty".