1364557440 has 128 divisors (see below), whose sum is σ = 4381675200. Its totient is φ = 361193472.

The previous prime is 1364557361. The next prime is 1364557457. The reversal of 1364557440 is 447554631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264324 + ... + 269436.

Almost surely, 2^1364557440 is an apocalyptic number.

1364557440 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 1364557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190837600).

1364557440 is an abundant number, since it is smaller than the sum of its proper divisors (3017117760).

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

1364557440 is a wasteful number, since it uses less digits than its factorization.

1364557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 1364557440 is about 36939.9166214544. The cubic root of 1364557440 is about 1109.1678528948.

The spelling of 1364557440 in words is "one billion, three hundred sixty-four million, five hundred fifty-seven thousand, four hundred forty".