4379178240 has 432 divisors, whose sum is σ = 16357723200. Its totient is φ = 1077608448.

The previous prime is 4379178229. The next prime is 4379178259. The reversal of 4379178240 is 428719734.

4379178240 is a `hidden beast` number, since 437 + 9 + 178 + 2 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11554371 + ... + 11554749.

It is an arithmetic number, because the mean of its divisors is an integer number (37865100).

Almost surely, 2^4379178240 is an apocalyptic number.

4379178240 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 4379178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178861600).

4379178240 is an abundant number, since it is smaller than the sum of its proper divisors (11978544960).

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

4379178240 is a wasteful number, since it uses less digits than its factorization.

4379178240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4379178240 is about 66175.3597647946. The cubic root of 4379178240 is about 1636.0536484859.

The spelling of 4379178240 in words is "four billion, three hundred seventy-nine million, one hundred seventy-eight thousand, two hundred forty".