1355790840 has 64 divisors (see below), whose sum is σ = 4070489760. Its totient is φ = 361267200.

The previous prime is 1355790823. The next prime is 1355790841. The reversal of 1355790840 is 480975531.

It is a junction number, because it is equal to n+sod(n) for n = 1355790792 and 1355790801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355790841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188592 + ... + 195648.

Almost surely, 2^1355790840 is an apocalyptic number.

1355790840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355790840 is an abundant number, since it is smaller than the sum of its proper divisors (2714698920).

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

1355790840 is a wasteful number, since it uses less digits than its factorization.

1355790840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 1355790840 is about 36821.0651665592. The cubic root of 1355790840 is about 1106.7874648383.

It can be divided in two parts, 135 and 5790840, that added together give a palindrome (5790975).

The spelling of 1355790840 in words is "one billion, three hundred fifty-five million, seven hundred ninety thousand, eight hundred forty".