4126494400 has 336 divisors, whose sum is σ = 12318211584. Its totient is φ = 1330053120.

The previous prime is 4126494373. The next prime is 4126494409. The reversal of 4126494400 is 44946214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126494409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21380704 + ... + 21380896.

It is an arithmetic number, because the mean of its divisors is an integer number (36661344).

Almost surely, 2^4126494400 is an apocalyptic number.

4126494400 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 4126494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159105792).

4126494400 is an abundant number, since it is smaller than the sum of its proper divisors (8191717184).

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

4126494400 is a wasteful number, since it uses less digits than its factorization.

4126494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 4126494400 is about 64237.7957280603. The cubic root of 4126494400 is about 1603.9608118899.

The spelling of 4126494400 in words is "four billion, one hundred twenty-six million, four hundred ninety-four thousand, four hundred".