1378166400 has 480 divisors, whose sum is σ = 5490338700. Its totient is φ = 338411520.

The previous prime is 1378166389. The next prime is 1378166407. The reversal of 1378166400 is 46618731.

1378166400 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 1 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 561121344 + 817045056 = 23688^2 + 28584^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1378166407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3369396 + ... + 3369804.

Almost surely, 2^1378166400 is an apocalyptic number.

1378166400 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 1378166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745169350).

1378166400 is an abundant number, since it is smaller than the sum of its proper divisors (4112172300).

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

1378166400 is a wasteful number, since it uses less digits than its factorization.

1378166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1378166400 is about 37123.6636123107. The cubic root of 1378166400 is about 1112.8429679430.

The spelling of 1378166400 in words is "one billion, three hundred seventy-eight million, one hundred sixty-six thousand, four hundred".