10001424234020 has 48 divisors (see below), whose sum is σ = 21052827146736. Its totient is φ = 3991084032000.

The previous prime is 10001424234001. The next prime is 10001424234023. The reversal of 10001424234020 is 2043242410001.

It can be written as a sum of positive squares in 8 ways, for example, as 465284965924 + 9536139268096 = 682118^2 + 3088064^2 .

It is not an unprimeable number, because it can be changed into a prime (10001424234023) 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 15 ways as a sum of consecutive naturals, for example, 22926740 + ... + 23358900.

It is an arithmetic number, because the mean of its divisors is an integer number (438600565557).

Almost surely, 2^{10001424234020} is an apocalyptic number.

10001424234020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001424234020 is an abundant number, since it is smaller than the sum of its proper divisors (11051402912716).

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

10001424234020 is a wasteful number, since it uses less digits than its factorization.

10001424234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434912 (or 434910 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10001424234020 its reverse (2043242410001), we get a palindrome (12044666644021).

The spelling of 10001424234020 in words is "ten trillion, one billion, four hundred twenty-four million, two hundred thirty-four thousand, twenty".