24428790617401 has 27 divisors (see below), whose sum is σ = 25224066417711. Its totient is φ = 23658281826144.

The previous prime is 24428790617389. The next prime is 24428790617419. The reversal of 24428790617401 is 10471609782442.

The square root of 24428790617401 is 4942549.

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., 14349587967225 + 10079202650176 = 3788085^2 + 3174776^2 .

It is not a de Polignac number, because 24428790617401 - 2⁵ = 24428790617369 is a prime.

It is a super-2 number, since 2×24428790617401² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24428791617401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29116555740 + ... + 29116556578.

Almost surely, 2^{24428790617401} is an apocalyptic number.

24428790617401 is the 4942549-th square number.

24428790617401 is the 2471275-th centered octagonal number.

It is an amenable number.

24428790617401 is a deficient number, since it is larger than the sum of its proper divisors (795275800310).

24428790617401 is an frugal number, since it uses more digits than its factorization.

24428790617401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 24428790617401 in words is "twenty-four trillion, four hundred twenty-eight billion, seven hundred ninety million, six hundred seventeen thousand, four hundred one".