1355077440 has 84 divisors (see below), whose sum is σ = 4660911684. Its totient is φ = 361353216.

The previous prime is 1355077433. The next prime is 1355077457. The reversal of 1355077440 is 447705531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 229340736 + 1125736704 = 15144^2 + 33552^2 .

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 = 1355077395 and 1355077404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232377 + ... + 238136.

Almost surely, 2^1355077440 is an apocalyptic number.

1355077440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355077440 is an abundant number, since it is smaller than the sum of its proper divisors (3305834244).

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

1355077440 is a wasteful number, since it uses less digits than its factorization.

1355077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470536 (or 470523 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 1355077440 is about 36811.3765023803. The cubic root of 1355077440 is about 1106.5933049222.

The spelling of 1355077440 in words is "one billion, three hundred fifty-five million, seventy-seven thousand, four hundred forty".