15460742450240 has 28 divisors (see below), whose sum is σ = 36815892960396. Its totient is φ = 6184296979968.

The previous prime is 15460742450239. The next prime is 15460742450297. The reversal of 15460742450240 is 4205424706451.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2282855071744 + 13177887378496 = 1510912^2 + 3630136^2 .

It is a super-2 number, since 2×15460742450240² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15460742450191 and 15460742450200.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24157409759 + ... + 24157410398.

Almost surely, 2^{15460742450240} is an apocalyptic number.

15460742450240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15460742450240 is an abundant number, since it is smaller than the sum of its proper divisors (21355150510156).

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

15460742450240 is an equidigital number, since it uses as much as digits as its factorization.

15460742450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48314820174 (or 48314820164 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 44.

The spelling of 15460742450240 in words is "fifteen trillion, four hundred sixty billion, seven hundred forty-two million, four hundred fifty thousand, two hundred forty".