4378127913120 has 384 divisors, whose sum is σ = 15282122784768. Its totient is φ = 1046882304000.

The previous prime is 4378127913113. The next prime is 4378127913127. The reversal of 4378127913120 is 213197218734.

It is an interprime number because it is at equal distance from previous prime (4378127913113) and next prime (4378127913127).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4378127913120.

It is not an unprimeable number, because it can be changed into a prime (4378127913127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33337185 + ... + 33468255.

It is an arithmetic number, because the mean of its divisors is an integer number (39797194752).

Almost surely, 2^{4378127913120} is an apocalyptic number.

4378127913120 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 4378127913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641061392384).

4378127913120 is an abundant number, since it is smaller than the sum of its proper divisors (10903994871648).

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

4378127913120 is a wasteful number, since it uses less digits than its factorization.

4378127913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131256 (or 131248 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 4378127913120 in words is "four trillion, three hundred seventy-eight billion, one hundred twenty-seven million, nine hundred thirteen thousand, one hundred twenty".