407279378880 has 1680 divisors, whose sum is σ = 1695218595840. Its totient is φ = 92606976000.

The previous prime is 407279378873. The next prime is 407279378917. The reversal of 407279378880 is 88873972704.

407279378880 is a `hidden beast` number, since 407 + 2 + 79 + 3 + 7 + 88 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5736329245 + ... + 5736329315.

It is an arithmetic number, because the mean of its divisors is an integer number (1009058688).

Almost surely, 2^407279378880 is an apocalyptic number.

407279378880 is a gapful number since it is divisible by the number (40) 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 407279378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847609297920).

407279378880 is an abundant number, since it is smaller than the sum of its proper divisors (1287939216960).

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

407279378880 is a wasteful number, since it uses less digits than its factorization.

407279378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 407279378880 in words is "four hundred seven billion, two hundred seventy-nine million, three hundred seventy-eight thousand, eight hundred eighty".