1053239040 has 432 divisors, whose sum is σ = 4289358528. Its totient is φ = 233570304.

The previous prime is 1053239017. The next prime is 1053239059. The reversal of 1053239040 is 409323501.

1053239040 is a `hidden beast` number, since 1 + 0 + 532 + 3 + 90 + 40 = 666.

It is a super-2 number, since 2×1053239040² = 2218624950760243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053238995 and 1053239013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2983504 + ... + 2983856.

Almost surely, 2^1053239040 is an apocalyptic number.

1053239040 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 1053239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144679264).

1053239040 is an abundant number, since it is smaller than the sum of its proper divisors (3236119488).

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

1053239040 is a wasteful number, since it uses less digits than its factorization.

1053239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1053239040 is about 32453.6444794726. The cubic root of 1053239040 is about 1017.4404104779.

The spelling of 1053239040 in words is "one billion, fifty-three million, two hundred thirty-nine thousand, forty".