4293027336960 has 576 divisors, whose sum is σ = 15680032220160. Its totient is φ = 1111794647040.

The previous prime is 4293027336959. The next prime is 4293027336979. The reversal of 4293027336960 is 696337203924.

4293027336960 is a `hidden beast` number, since 4 + 2 + 9 + 3 + 0 + 273 + 369 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 4293027336897 and 4293027336906.

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, 164388864 + ... + 164414976.

It is an arithmetic number, because the mean of its divisors is an integer number (27222278160).

Almost surely, 2^{4293027336960} is an apocalyptic number.

4293027336960 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 4293027336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840016110080).

4293027336960 is an abundant number, since it is smaller than the sum of its proper divisors (11387004883200).

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

4293027336960 is a wasteful number, since it uses less digits than its factorization.

4293027336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26281 (or 26261 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 4293027336960 in words is "four trillion, two hundred ninety-three billion, twenty-seven million, three hundred thirty-six thousand, nine hundred sixty".