1374801216000 has 320 divisors, whose sum is σ = 4575252629376. Its totient is φ = 366262272000.

The previous prime is 1374801215993. The next prime is 1374801216011. The reversal of 1374801216000 is 6121084731.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×1374801216000³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246333210 + ... + 246338790.

Almost surely, 2^{1374801216000} is an apocalyptic number.

1374801216000 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 1374801216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287626314688).

1374801216000 is an abundant number, since it is smaller than the sum of its proper divisors (3200451413376).

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

1374801216000 is an equidigital number, since it uses as much as digits as its factorization.

1374801216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 1374801216000 in words is "one trillion, three hundred seventy-four billion, eight hundred one million, two hundred sixteen thousand".