7341319440 has 800 divisors, whose sum is σ = 33148949760. Its totient is φ = 1457823744.

The previous prime is 7341319421. The next prime is 7341319451. The reversal of 7341319440 is 449131437.

It is a super-2 number, since 2×7341319440² (a number of 21 digits) contains 22 as substring.

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 = 7341319395 and 7341319404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 431842312 + ... + 431842328.

Almost surely, 2^7341319440 is an apocalyptic number.

7341319440 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 7341319440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16574474880).

7341319440 is an abundant number, since it is smaller than the sum of its proper divisors (25807630320).

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

7341319440 is a wasteful number, since it uses less digits than its factorization.

7341319440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7341319440 is about 85681.4999868700. The cubic root of 7341319440 is about 1943.5305603260.

The spelling of 7341319440 in words is "seven billion, three hundred forty-one million, three hundred nineteen thousand, four hundred forty".