1375585440 has 48 divisors (see below), whose sum is σ = 4333095648. Its totient is φ = 366822656.

The previous prime is 1375585429. The next prime is 1375585459. The reversal of 1375585440 is 445855731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1375585392 and 1375585401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1432422 + ... + 1433381.

It is an arithmetic number, because the mean of its divisors is an integer number (90272826).

Almost surely, 2^1375585440 is an apocalyptic number.

1375585440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1375585440 is an abundant number, since it is smaller than the sum of its proper divisors (2957510208).

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

1375585440 is a wasteful number, since it uses less digits than its factorization.

1375585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865821 (or 2865813 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 1375585440 is about 37088.8856667331. The cubic root of 1375585440 is about 1112.1478419102.

The spelling of 1375585440 in words is "one billion, three hundred seventy-five million, five hundred eighty-five thousand, four hundred forty".