1393042560 has 768 divisors, whose sum is σ = 5977722240. Its totient is φ = 272498688.

The previous prime is 1393042549. The next prime is 1393042583. The reversal of 1393042560 is 652403931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20791647 + ... + 20791713.

Almost surely, 2^1393042560 is an apocalyptic number.

1393042560 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 1393042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988861120).

1393042560 is an abundant number, since it is smaller than the sum of its proper divisors (4584679680).

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

1393042560 is a wasteful number, since it uses less digits than its factorization.

1393042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 1393042560 is about 37323.4853677949. The cubic root of 1393042560 is about 1116.8327182583.

The spelling of 1393042560 in words is "one billion, three hundred ninety-three million, forty-two thousand, five hundred sixty".