24407028480409 has 9 divisors (see below), whose sum is σ = 24463731553663. Its totient is φ = 24350456566912.

The previous prime is 24407028480313. The next prime is 24407028480421. The reversal of 24407028480409 is 90408482070442.

The square root of 24407028480409 is 4940347.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14915453374809 + 9491575105600 = 3862053^2 + 3080840^2 .

It is not a de Polignac number, because 24407028480409 - 2⁴³ = 15610935458201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24407028480209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2218210302 + ... + 2218221304.

Almost surely, 2^{24407028480409} is an apocalyptic number.

24407028480409 is the 4940347-th square number.

24407028480409 is the 2470174-th centered octagonal number.

It is an amenable number.

24407028480409 is a deficient number, since it is larger than the sum of its proper divisors (56703073254).

24407028480409 is an frugal number, since it uses more digits than its factorization.

24407028480409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22904 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 52.

The spelling of 24407028480409 in words is "twenty-four trillion, four hundred seven billion, twenty-eight million, four hundred eighty thousand, four hundred nine".