4278075264000 has 1848 divisors, whose sum is σ = 17021488992768. Its totient is φ = 1072266854400.

The previous prime is 4278075263999. The next prime is 4278075264011. The reversal of 4278075264000 is 4625708724.

It is a happy number.

4278075264000 is a `hidden beast` number, since 4 + 2 + 7 + 80 + 7 + 526 + 40 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 33685631937 + ... + 33685632063.

Almost surely, 2^{4278075264000} is an apocalyptic number.

4278075264000 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 4278075264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510744496384).

4278075264000 is an abundant number, since it is smaller than the sum of its proper divisors (12743413728768).

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

4278075264000 is an equidigital number, since it uses as much as digits as its factorization.

4278075264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 4278075264000 in words is "four trillion, two hundred seventy-eight billion, seventy-five million, two hundred sixty-four thousand".