1376372400 has 240 divisors, whose sum is σ = 4809858816. Its totient is φ = 334402560.

The previous prime is 1376372381. The next prime is 1376372429. The reversal of 1376372400 is 42736731.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294269 + ... + 1295331.

Almost surely, 2^1376372400 is an apocalyptic number.

1376372400 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 1376372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404929408).

1376372400 is an abundant number, since it is smaller than the sum of its proper divisors (3433486416).

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

1376372400 is a wasteful number, since it uses less digits than its factorization.

1376372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 1376372400 is about 37099.4932579948. The cubic root of 1376372400 is about 1112.3598847230.

The spelling of 1376372400 in words is "one billion, three hundred seventy-six million, three hundred seventy-two thousand, four hundred".