1376564440 has 64 divisors (see below), whose sum is σ = 3268188000. Its totient is φ = 520381440.

The previous prime is 1376564419. The next prime is 1376564507. The reversal of 1376564440 is 444656731.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1376564393 and 1376564402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348396 + ... + 352324.

Almost surely, 2^1376564440 is an apocalyptic number.

1376564440 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 1376564440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634094000).

1376564440 is an abundant number, since it is smaller than the sum of its proper divisors (1891623560).

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

1376564440 is a wasteful number, since it uses less digits than its factorization.

1376564440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 1376564440 is about 37102.0813432346. The cubic root of 1376564440 is about 1112.4116167634.

The spelling of 1376564440 in words is "one billion, three hundred seventy-six million, five hundred sixty-four thousand, four hundred forty".