4280111179776 has 384 divisors, whose sum is σ = 12779544960000. Its totient is φ = 1415411712000.

The previous prime is 4280111179769. The next prime is 4280111179837. The reversal of 4280111179776 is 6779711110824.

4280111179776 is a `hidden beast` number, since 428 + 0 + 11 + 117 + 97 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4280111179776² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4982666835 + ... + 4982667693.

It is an arithmetic number, because the mean of its divisors is an integer number (33280065000).

Almost surely, 2^{4280111179776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4280111179776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389772480000).

4280111179776 is an abundant number, since it is smaller than the sum of its proper divisors (8499433780224).

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

4280111179776 is a wasteful number, since it uses less digits than its factorization.

4280111179776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 4280111179776 in words is "four trillion, two hundred eighty billion, one hundred eleven million, one hundred seventy-nine thousand, seven hundred seventy-six".