126418444416 has 896 divisors, whose sum is σ = 443089958400. Its totient is φ = 35533209600.

The previous prime is 126418444409. The next prime is 126418444421. The reversal of 126418444416 is 614444814621.

126418444416 is a `hidden beast` number, since 1 + 26 + 4 + 184 + 4 + 441 + 6 = 666.

It is a super-2 number, since 2×126418444416² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 922762300 + ... + 922762436.

Almost surely, 2^126418444416 is an apocalyptic number.

126418444416 is a gapful number since it is divisible by the number (16) 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 126418444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221544979200).

126418444416 is an abundant number, since it is smaller than the sum of its proper divisors (316671513984).

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

126418444416 is a wasteful number, since it uses less digits than its factorization.

126418444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 126418444416 in words is "one hundred twenty-six billion, four hundred eighteen million, four hundred forty-four thousand, four hundred sixteen".