7904413440 has 1296 divisors, whose sum is σ = 37077505920. Its totient is φ = 1532805120.

The previous prime is 7904413417. The next prime is 7904413441. The reversal of 7904413440 is 443144097.

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

It is a junction number, because it is equal to n+sod(n) for n = 7904413395 and 7904413404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7904413441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117976287 + ... + 117976353.

Almost surely, 2^7904413440 is an apocalyptic number.

7904413440 is a gapful number since it is divisible by the number (70) 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 7904413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18538752960).

7904413440 is an abundant number, since it is smaller than the sum of its proper divisors (29173092480).

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

7904413440 is a wasteful number, since it uses less digits than its factorization.

7904413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7904413440 is about 88906.7682462927. The cubic root of 7904413440 is about 1992.0025160853.

It can be divided in two parts, 790441 and 3440, that added together give a square (793881 = 891²).

The spelling of 7904413440 in words is "seven billion, nine hundred four million, four hundred thirteen thousand, four hundred forty".