1355765040 has 440 divisors, whose sum is σ = 5535458208. Its totient is φ = 302330880.

The previous prime is 1355765039. The next prime is 1355765053. The reversal of 1355765040 is 405675531.

1355765040 is a `hidden beast` number, since 1 + 3 + 557 + 65 + 0 + 40 = 666.

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 = 1355764986 and 1355765004.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 33067420 + ... + 33067460.

Almost surely, 2^1355765040 is an apocalyptic number.

1355765040 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 1355765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767729104).

1355765040 is an abundant number, since it is smaller than the sum of its proper divisors (4179693168).

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

1355765040 is an frugal number, since it uses more digits than its factorization.

1355765040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 1355765040 is about 36820.7148219586. The cubic root of 1355765040 is about 1106.7804442624.

The spelling of 1355765040 in words is "one billion, three hundred fifty-five million, seven hundred sixty-five thousand, forty".