4278891948960 has 384 divisors, whose sum is σ = 14095220832000. Its totient is φ = 1089722253312.

The previous prime is 4278891948899. The next prime is 4278891948973. The reversal of 4278891948960 is 698491988724.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1036300176 + ... + 1036304304.

It is an arithmetic number, because the mean of its divisors is an integer number (36706304250).

Almost surely, 2^{4278891948960} is an apocalyptic number.

4278891948960 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 4278891948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047610416000).

4278891948960 is an abundant number, since it is smaller than the sum of its proper divisors (9816328883040).

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

4278891948960 is a wasteful number, since it uses less digits than its factorization.

4278891948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 75.

The spelling of 4278891948960 in words is "four trillion, two hundred seventy-eight billion, eight hundred ninety-one million, nine hundred forty-eight thousand, nine hundred sixty".