1023521040 has 120 divisors (see below), whose sum is σ = 3639563928. Its totient is φ = 256880640.

The previous prime is 1023521033. The next prime is 1023521053. The reversal of 1023521040 is 401253201.

1023521040 is a `hidden beast` number, since 102 + 3 + 521 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 554885136 + 468635904 = 23556^2 + 21648^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29571 + ... + 54050.

Almost surely, 2^1023521040 is an apocalyptic number.

1023521040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023521040 is an abundant number, since it is smaller than the sum of its proper divisors (2616042888).

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

1023521040 is a wasteful number, since it uses less digits than its factorization.

1023521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83657 (or 83648 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1023521040 is about 31992.5153746935. The cubic root of 1023521040 is about 1007.7796665056.

Adding to 1023521040 its reverse (401253201), we get a palindrome (1424774241).

The spelling of 1023521040 in words is "one billion, twenty-three million, five hundred twenty-one thousand, forty".