1360253440 has 160 divisors (see below), whose sum is σ = 4014743040. Its totient is φ = 430424064.

The previous prime is 1360253423. The next prime is 1360253473. The reversal of 1360253440 is 443520631.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1360253399 and 1360253408.

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, 230041 + ... + 235879.

It is an arithmetic number, because the mean of its divisors is an integer number (25092144).

Almost surely, 2^1360253440 is an apocalyptic number.

1360253440 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 1360253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007371520).

1360253440 is an abundant number, since it is smaller than the sum of its proper divisors (2654489600).

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

1360253440 is an equidigital number, since it uses as much as digits as its factorization.

1360253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1360253440 is about 36881.6138475528. The cubic root of 1360253440 is about 1108.0004691836. Note that the first 3 decimals are identical.

The spelling of 1360253440 in words is "one billion, three hundred sixty million, two hundred fifty-three thousand, four hundred forty".