4538378799360 has 1152 divisors, whose sum is σ = 18790975365120. Its totient is φ = 1015831756800.

The previous prime is 4538378799307. The next prime is 4538378799371. The reversal of 4538378799360 is 639978738354.

4538378799360 is a `hidden beast` number, since 4 + 53 + 83 + 78 + 79 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2799739350 + ... + 2799740970.

It is an arithmetic number, because the mean of its divisors is an integer number (16311610560).

Almost surely, 2^{4538378799360} is an apocalyptic number.

4538378799360 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 4538378799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395487682560).

4538378799360 is an abundant number, since it is smaller than the sum of its proper divisors (14252596565760).

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

4538378799360 is a wasteful number, since it uses less digits than its factorization.

4538378799360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 4538378799360 in words is "four trillion, five hundred thirty-eight billion, three hundred seventy-eight million, seven hundred ninety-nine thousand, three hundred sixty".