4104726400 has 96 divisors (see below), whose sum is σ = 10202003280. Its totient is φ = 1631846400.

The previous prime is 4104726397. The next prime is 4104726401. The reversal of 4104726400 is 46274014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104726401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530560 + ... + 538240.

Almost surely, 2^4104726400 is an apocalyptic number.

4104726400 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 4104726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101001640).

4104726400 is an abundant number, since it is smaller than the sum of its proper divisors (6097276880).

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

4104726400 is a wasteful number, since it uses less digits than its factorization.

4104726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7872 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 4104726400 is about 64068.1387274517. The cubic root of 4104726400 is about 1601.1354440387.

The spelling of 4104726400 in words is "four billion, one hundred four million, seven hundred twenty-six thousand, four hundred".