1355240640 has 336 divisors, whose sum is σ = 4830555744. Its totient is φ = 319979520.

The previous prime is 1355240633. The next prime is 1355240729. The reversal of 1355240640 is 460425531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1355240598 and 1355240607.

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, 11993224 + ... + 11993336.

It is an arithmetic number, because the mean of its divisors is an integer number (14376654).

Almost surely, 2^1355240640 is an apocalyptic number.

1355240640 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 1355240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415277872).

1355240640 is an abundant number, since it is smaller than the sum of its proper divisors (3475315104).

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

1355240640 is a wasteful number, since it uses less digits than its factorization.

1355240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1355240640 is about 36813.5931416644. The cubic root of 1355240640 is about 1106.6377276670.

The spelling of 1355240640 in words is "one billion, three hundred fifty-five million, two hundred forty thousand, six hundred forty".