20442824402 has 162 divisors, whose sum is σ = 42880766607. Its totient is φ = 7279272000.

The previous prime is 20442824401. The next prime is 20442824429.

Added to its reverse (20442824402) it gives a square (40885648804 = 202202²).

20442824402 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 5 ways, for example, as 14116053721 + 6326770681 = 118811^2 + 79541^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=101101.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20442824401) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 202404152 + ... + 202404252.

Almost surely, 2^20442824402 is an apocalyptic number.

20442824402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20442824402 is an abundant number, since it is smaller than the sum of its proper divisors (22437942205).

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

20442824402 is a wasteful number, since it uses less digits than its factorization.

20442824402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Multiplying 20442824402 by its sum of digits (32), we get a square (654170380864 = 808808²).

Multiplying 20442824402 by its product of nonzero digits (32768), we get a square (669870470004736 = 25881856²).

The spelling of 20442824402 in words is "twenty billion, four hundred forty-two million, eight hundred twenty-four thousand, four hundred two".