1379149416000 has 672 divisors, whose sum is σ = 5131924866432. Its totient is φ = 366641510400.

The previous prime is 1379149415993. The next prime is 1379149416023. The reversal of 1379149416000 is 6149419731.

It is a happy number.

1379149416000 is a `hidden beast` number, since 1 + 37 + 9 + 1 + 4 + 9 + 4 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×1379149416000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771767107 + ... + 771768893.

It is an arithmetic number, because the mean of its divisors is an integer number (7636792956).

Almost surely, 2^{1379149416000} is an apocalyptic number.

1379149416000 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 1379149416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565962433216).

1379149416000 is an abundant number, since it is smaller than the sum of its proper divisors (3752775450432).

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

1379149416000 is an equidigital number, since it uses as much as digits as its factorization.

1379149416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1379149416000 in words is "one trillion, three hundred seventy-nine billion, one hundred forty-nine million, four hundred sixteen thousand".