2408821953444 has 27 divisors (see below), whose sum is σ = 6088990143873. Its totient is φ = 802937547072.

The previous prime is 2408821953427. The next prime is 2408821953469. The reversal of 2408821953444 is 4443591288042.

The square root of 2408821953444 is 1552038.

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

2408821953444 is a `hidden beast` number, since 2 + 4 + 0 + 8 + 8 + 2 + 195 + 3 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1993941684900 + 414880268544 = 1412070^2 + 644112^2 .

It is a super-2 number, since 2×2408821953444² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9182892 + ... + 9441564.

Almost surely, 2^{2408821953444} is an apocalyptic number.

2408821953444 is the 1552038-th square number.

It is an amenable number.

2408821953444 is an abundant number, since it is smaller than the sum of its proper divisors (3680168190429).

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

2408821953444 is an frugal number, since it uses more digits than its factorization.

2408821953444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517356 (or 258678 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 2408821953444 in words is "two trillion, four hundred eight billion, eight hundred twenty-one million, nine hundred fifty-three thousand, four hundred forty-four".