4378868121600 has 1632 divisors, whose sum is σ = 18723230208000. Its totient is φ = 982693969920.

The previous prime is 4378868121599. The next prime is 4378868121611. The reversal of 4378868121600 is 61218688734.

4378868121600 is a `hidden beast` number, since 4 + 3 + 7 + 8 + 8 + 6 + 8 + 1 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24462950311 + ... + 24462950489.

Almost surely, 2^{4378868121600} is an apocalyptic number.

4378868121600 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 4378868121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9361615104000).

4378868121600 is an abundant number, since it is smaller than the sum of its proper divisors (14344362086400).

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

4378868121600 is an equidigital number, since it uses as much as digits as its factorization.

4378868121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4378868121600 in words is "four trillion, three hundred seventy-eight billion, eight hundred sixty-eight million, one hundred twenty-one thousand, six hundred".