425126116800 has 756 divisors, whose sum is σ = 1917517456296. Its totient is φ = 88336281600.

The previous prime is 425126116759. The next prime is 425126116817. The reversal of 425126116800 is 8611621524.

It is a happy number.

425126116800 is a `hidden beast` number, since 4 + 2 + 512 + 61 + 1 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7734214 + ... + 7788986.

Almost surely, 2^425126116800 is an apocalyptic number.

425126116800 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 425126116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958758728148).

425126116800 is an abundant number, since it is smaller than the sum of its proper divisors (1492391339496).

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

425126116800 is a wasteful number, since it uses less digits than its factorization.

425126116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54826 (or 54801 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 425126116800 in words is "four hundred twenty-five billion, one hundred twenty-six million, one hundred sixteen thousand, eight hundred".