1374374400 has 240 divisors, whose sum is σ = 5189769024. Its totient is φ = 314081280.

The previous prime is 1374374387. The next prime is 1374374411. The reversal of 1374374400 is 44734731.

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 23 ways as a sum of consecutive naturals, for example, 266244 + ... + 271356.

Almost surely, 2^1374374400 is an apocalyptic number.

1374374400 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 1374374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594884512).

1374374400 is an abundant number, since it is smaller than the sum of its proper divisors (3815394624).

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

1374374400 is an equidigital number, since it uses as much as digits as its factorization.

1374374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 1374374400 is about 37072.5558870710. Note that the first 3 decimals coincide. The cubic root of 1374374400 is about 1111.8213746172.

The spelling of 1374374400 in words is "one billion, three hundred seventy-four million, three hundred seventy-four thousand, four hundred".