7408217040 has 640 divisors, whose sum is σ = 29312409600. Its totient is φ = 1509580800.

The previous prime is 7408217017. The next prime is 7408217051. The reversal of 7408217040 is 407128047.

It is a Cunningham number, because it is equal to 86071²-1.

It is a junction number, because it is equal to n+sod(n) for n = 7408216992 and 7408217010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49060965 + ... + 49061115.

It is an arithmetic number, because the mean of its divisors is an integer number (45800640).

Almost surely, 2^7408217040 is an apocalyptic number.

7408217040 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 7408217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656204800).

7408217040 is an abundant number, since it is smaller than the sum of its proper divisors (21904192560).

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

7408217040 is a wasteful number, since it uses less digits than its factorization.

7408217040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 7408217040 is about 86070.9999941908. Note that the first 5 decimals coincide. The cubic root of 7408217040 is about 1949.4161776230.

The spelling of 7408217040 in words is "seven billion, four hundred eight million, two hundred seventeen thousand, forty".