7340257440 has 72 divisors (see below), whose sum is σ = 25048633428. Its totient is φ = 1957401600.

The previous prime is 7340257439. The next prime is 7340257451. The reversal of 7340257440 is 447520437.

7340257440 is a `hidden beast` number, since 7 + 3 + 40 + 2 + 574 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6070903056 + 1269354384 = 77916^2 + 35628^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 7340257395 and 7340257404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2547261 + ... + 2550140.

Almost surely, 2^7340257440 is an apocalyptic number.

It is an amenable number.

7340257440 is an abundant number, since it is smaller than the sum of its proper divisors (17708375988).

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

7340257440 is a wasteful number, since it uses less digits than its factorization.

7340257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097422 (or 5097411 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 7340257440 is about 85675.3023922297. The cubic root of 7340257440 is about 1943.4368383456.

Adding to 7340257440 its reverse (447520437), we get a palindrome (7787777877).

The spelling of 7340257440 in words is "seven billion, three hundred forty million, two hundred fifty-seven thousand, four hundred forty".