1353568440 has 64 divisors (see below), whose sum is σ = 4640808960. Its totient is φ = 309386880.

The previous prime is 1353568397. The next prime is 1353568477. The reversal of 1353568440 is 448653531.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804856 + ... + 806535.

It is an arithmetic number, because the mean of its divisors is an integer number (72512640).

Almost surely, 2^1353568440 is an apocalyptic number.

1353568440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353568440 is an abundant number, since it is smaller than the sum of its proper divisors (3287240520).

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

1353568440 is a wasteful number, since it uses less digits than its factorization.

1353568440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611412 (or 1611408 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 1353568440 is about 36790.8744120060. The cubic root of 1353568440 is about 1106.1823887945.

The spelling of 1353568440 in words is "one billion, three hundred fifty-three million, five hundred sixty-eight thousand, four hundred forty".