1353983040 has 140 divisors (see below), whose sum is σ = 4816448076. Its totient is φ = 361055232.

The previous prime is 1353982979. The next prime is 1353983051. The reversal of 1353983040 is 403893531.

1353983040 is a `hidden beast` number, since 1 + 3 + 539 + 83 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 507871296 + 846111744 = 22536^2 + 29088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1353982986 and 1353983004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199 + ... + 52038.

Almost surely, 2^1353983040 is an apocalyptic number.

1353983040 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 1353983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408224038).

1353983040 is an abundant number, since it is smaller than the sum of its proper divisors (3462465036).

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

1353983040 is an equidigital number, since it uses as much as digits as its factorization.

1353983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52266 (or 52247 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1353983040 is about 36796.5085300222. The cubic root of 1353983040 is about 1106.2953190282.

The spelling of 1353983040 in words is "one billion, three hundred fifty-three million, nine hundred eighty-three thousand, forty".