7426104400 has 240 divisors, whose sum is σ = 22066712640. Its totient is φ = 2361139200.

The previous prime is 7426104383. The next prime is 7426104409. The reversal of 7426104400 is 44016247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7426104409) 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, 1083384 + ... + 1090216.

It is an arithmetic number, because the mean of its divisors is an integer number (91944636).

Almost surely, 2^7426104400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7426104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11033356320).

7426104400 is an abundant number, since it is smaller than the sum of its proper divisors (14640608240).

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

7426104400 is a wasteful number, since it uses less digits than its factorization.

7426104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6883 counting only the distinct ones).

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

The square root of 7426104400 is about 86174.8478385660. The cubic root of 7426104400 is about 1950.9838909494.

The spelling of 7426104400 in words is "seven billion, four hundred twenty-six million, one hundred four thousand, four hundred".