4290318264960 has 896 divisors, whose sum is σ = 18926683896960. Its totient is φ = 905201049600.

The previous prime is 4290318264907. The next prime is 4290318265003. The reversal of 4290318264960 is 694628130924.

4290318264960 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 318 + 264 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 = 4290318264897 and 4290318264906.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42406435 + ... + 42507485.

It is an arithmetic number, because the mean of its divisors is an integer number (21123531135).

Almost surely, 2^{4290318264960} is an apocalyptic number.

4290318264960 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 4290318264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9463341948480).

4290318264960 is an abundant number, since it is smaller than the sum of its proper divisors (14636365632000).

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

4290318264960 is a wasteful number, since it uses less digits than its factorization.

4290318264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101108 (or 101081 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4290318264960 in words is "four trillion, two hundred ninety billion, three hundred eighteen million, two hundred sixty-four thousand, nine hundred sixty".