379091404800 has 1440 divisors, whose sum is σ = 1570441672800. Its totient is φ = 89818398720.

The previous prime is 379091404771. The next prime is 379091404829. The reversal of 379091404800 is 8404190973.

It is an interprime number because it is at equal distance from previous prime (379091404771) and next prime (379091404829).

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 1339545459 + ... + 1339545741.

It is an arithmetic number, because the mean of its divisors is an integer number (1090584495).

Almost surely, 2^379091404800 is an apocalyptic number.

379091404800 is a gapful number since it is divisible by the number (30) 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 379091404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785220836400).

379091404800 is an abundant number, since it is smaller than the sum of its proper divisors (1191350268000).

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

379091404800 is a wasteful number, since it uses less digits than its factorization.

379091404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 379091404800 in words is "three hundred seventy-nine billion, ninety-one million, four hundred four thousand, eight hundred".