4290811562688 has 336 divisors, whose sum is σ = 13316572523520. Its totient is φ = 1215751735296.

The previous prime is 4290811562659. The next prime is 4290811562711. The reversal of 4290811562688 is 8862651180924.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4290811562688² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564353895 + ... + 564361497.

It is an arithmetic number, because the mean of its divisors is an integer number (39632656320).

Almost surely, 2^{4290811562688} is an apocalyptic number.

4290811562688 is a gapful number since it is divisible by the number (48) 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 4290811562688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658286261760).

4290811562688 is an abundant number, since it is smaller than the sum of its proper divisors (9025760960832).

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

4290811562688 is a wasteful number, since it uses less digits than its factorization.

4290811562688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 4290811562688 in words is "four trillion, two hundred ninety billion, eight hundred eleven million, five hundred sixty-two thousand, six hundred eighty-eight".