4126348800 has 1080 divisors, whose sum is σ = 18611471736. Its totient is φ = 867041280.

The previous prime is 4126348729. The next prime is 4126348829. The reversal of 4126348800 is 88436214.

4126348800 is a `hidden beast` number, since 4 + 12 + 634 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×4126348800² = 34053508838522880000, which contains 22 as substring.

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, 95961579 + ... + 95961621.

Almost surely, 2^4126348800 is an apocalyptic number.

4126348800 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 4126348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9305735868).

4126348800 is an abundant number, since it is smaller than the sum of its proper divisors (14485122936).

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

4126348800 is a wasteful number, since it uses less digits than its factorization.

4126348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4126348800 is about 64236.6624288653. The cubic root of 4126348800 is about 1603.9419468503.

The spelling of 4126348800 in words is "four billion, one hundred twenty-six million, three hundred forty-eight thousand, eight hundred".