1375214400 has 378 divisors, whose sum is σ = 5688768150. Its totient is φ = 314173440.

The previous prime is 1375214389. The next prime is 1375214411. The reversal of 1375214400 is 44125731.

1375214400 is a `hidden beast` number, since 137 + 521 + 4 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1375214389) and next prime (1375214411).

It can be written as a sum of positive squares in 3 ways, for example, as 223562304 + 1151652096 = 14952^2 + 33936^2 .

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 53 ways as a sum of consecutive naturals, for example, 704626 + ... + 706574.

Almost surely, 2^1375214400 is an apocalyptic number.

1375214400 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 1375214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844384075).

1375214400 is an abundant number, since it is smaller than the sum of its proper divisors (4313553750).

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

1375214400 is a wasteful number, since it uses less digits than its factorization.

1375214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1375214400 is about 37083.8832918021. The cubic root of 1375214400 is about 1112.0478388059.

The spelling of 1375214400 in words is "one billion, three hundred seventy-five million, two hundred fourteen thousand, four hundred".