4426126801668 has 384 divisors, whose sum is σ = 13694971207680. Its totient is φ = 1218514752000.

The previous prime is 4426126801643. The next prime is 4426126801673. The reversal of 4426126801668 is 8661086216244.

4426126801668 is a `hidden beast` number, since 4 + 4 + 2 + 612 + 6 + 8 + 0 + 16 + 6 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 691903446 + ... + 691909842.

It is an arithmetic number, because the mean of its divisors is an integer number (35663987520).

Almost surely, 2^{4426126801668} 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 4426126801668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847485603840).

4426126801668 is an abundant number, since it is smaller than the sum of its proper divisors (9268844406012).

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

4426126801668 is a wasteful number, since it uses less digits than its factorization.

4426126801668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7136 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 4426126801668 in words is "four trillion, four hundred twenty-six billion, one hundred twenty-six million, eight hundred one thousand, six hundred sixty-eight".