4126451660200 has 96 divisors (see below), whose sum is σ = 10180392397560. Its totient is φ = 1550117273600.

The previous prime is 4126451660179. The next prime is 4126451660281. The reversal of 4126451660200 is 20661546214.

It can be written as a sum of positive squares in 12 ways, for example, as 106081792804 + 4020369867396 = 325702^2 + 2005086^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4126451660200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251064 + ... + 2883736.

Almost surely, 2^{4126451660200} is an apocalyptic number.

4126451660200 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 4126451660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090196198780).

4126451660200 is an abundant number, since it is smaller than the sum of its proper divisors (6053940737360).

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

4126451660200 is a wasteful number, since it uses less digits than its factorization.

4126451660200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633167 (or 2633158 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 4126451660200 in words is "four trillion, one hundred twenty-six billion, four hundred fifty-one million, six hundred sixty thousand, two hundred".