379242514080 has 1152 divisors, whose sum is σ = 1490413478400. Its totient is φ = 89866174464.

The previous prime is 379242514033. The next prime is 379242514081. The reversal of 379242514080 is 80415242973.

379242514080 is a `hidden beast` number, since 3 + 7 + 9 + 2 + 425 + 140 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (379242514081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3479289066 + ... + 3479289174.

It is an arithmetic number, because the mean of its divisors is an integer number (1293761700).

Almost surely, 2^379242514080 is an apocalyptic number.

379242514080 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 379242514080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745206739200).

379242514080 is an abundant number, since it is smaller than the sum of its proper divisors (1111170964320).

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

379242514080 is a wasteful number, since it uses less digits than its factorization.

379242514080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 379242514080 in words is "three hundred seventy-nine billion, two hundred forty-two million, five hundred fourteen thousand, eighty".