126416096294400 has 2160 divisors, whose sum is σ = 532970136290592. Its totient is φ = 28518934118400.

The previous prime is 126416096294387. The next prime is 126416096294413. The reversal of 126416096294400 is 4492690614621.

126416096294400 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 1 + 6 + 0 + 9 + 629 + 4 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126416096294387) and next prime (126416096294413).

It is a super-2 number, since 2×126416096294400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11862253872 + ... + 11862264528.

Almost surely, 2^{126416096294400} is an apocalyptic number.

126416096294400 is a gapful number since it is divisible by the number (10) 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 126416096294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266485068145296).

126416096294400 is an abundant number, since it is smaller than the sum of its proper divisors (406554039996192).

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

126416096294400 is a wasteful number, since it uses less digits than its factorization.

126416096294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10773 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 126416096294400 in words is "one hundred twenty-six trillion, four hundred sixteen billion, ninety-six million, two hundred ninety-four thousand, four hundred".