1378864400 has 60 divisors (see below), whose sum is σ = 3338929152. Its totient is φ = 547182720.

The previous prime is 1378864393. The next prime is 1378864411. The reversal of 1378864400 is 44688731.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37229 + ... + 64371.

Almost surely, 2^1378864400 is an apocalyptic number.

1378864400 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 1378864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669464576).

1378864400 is an abundant number, since it is smaller than the sum of its proper divisors (1960064752).

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

1378864400 is a wasteful number, since it uses less digits than its factorization.

1378864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27288 (or 27277 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 1378864400 is about 37133.0634340880. The cubic root of 1378864400 is about 1113.0308101108.

The spelling of 1378864400 in words is "one billion, three hundred seventy-eight million, eight hundred sixty-four thousand, four hundred".