4290806224512 has 384 divisors, whose sum is σ = 13278866328000. Its totient is φ = 1377531961344.

The previous prime is 4290806224493. The next prime is 4290806224517. The reversal of 4290806224512 is 2154226080924.

4290806224512 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 8 + 0 + 622 + 4 + 5 + 12 = 666.

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

It is a super-2 number, since 2×4290806224512² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4290806224517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377939028 + ... + 377950380.

Almost surely, 2^{4290806224512} 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 4290806224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639433164000).

4290806224512 is an abundant number, since it is smaller than the sum of its proper divisors (8988060103488).

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

4290806224512 is a wasteful number, since it uses less digits than its factorization.

4290806224512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11830 (or 11806 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4290806224512 in words is "four trillion, two hundred ninety billion, eight hundred six million, two hundred twenty-four thousand, five hundred twelve".