1355897040 has 80 divisors (see below), whose sum is σ = 4246686528. Its totient is φ = 357838848.

The previous prime is 1355897021. The next prime is 1355897041. The reversal of 1355897040 is 407985531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1355896983 and 1355897001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355897041) 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, 5842 + ... + 52401.

Almost surely, 2^1355897040 is an apocalyptic number.

1355897040 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 1355897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123343264).

1355897040 is an abundant number, since it is smaller than the sum of its proper divisors (2890789488).

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

1355897040 is a wasteful number, since it uses less digits than its factorization.

1355897040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58356 (or 58350 counting only the distinct ones).

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

The square root of 1355897040 is about 36822.5072476060. The cubic root of 1355897040 is about 1106.8163625504.

The spelling of 1355897040 in words is "one billion, three hundred fifty-five million, eight hundred ninety-seven thousand, forty".