4126258493100 has 216 divisors, whose sum is σ = 13074750940160. Its totient is φ = 1088379504000.

The previous prime is 4126258493089. The next prime is 4126258493113. The reversal of 4126258493100 is 13948526214.

4126258493100 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 2 + 58 + 493 + 100 = 666.

It is a super-2 number, since 2×4126258493100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33841245 + ... + 33962955.

Almost surely, 2^{4126258493100} 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 4126258493100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537375470080).

4126258493100 is an abundant number, since it is smaller than the sum of its proper divisors (8948492447060).

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

4126258493100 is a wasteful number, since it uses less digits than its factorization.

4126258493100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122141 (or 122131 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4126258493100 in words is "four trillion, one hundred twenty-six billion, two hundred fifty-eight million, four hundred ninety-three thousand, one hundred".