10020411440 has 80 divisors (see below), whose sum is σ = 25501034496. Its totient is φ = 3639168000.

The previous prime is 10020411437. The next prime is 10020411487. The reversal of 10020411440 is 4411402001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15536 + ... + 142415.

Almost surely, 2^10020411440 is an apocalyptic number.

10020411440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12750517248).

10020411440 is an abundant number, since it is smaller than the sum of its proper divisors (15480623056).

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

10020411440 is a wasteful number, since it uses less digits than its factorization.

10020411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158038 (or 158032 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10020411440 its reverse (4411402001), we get a palindrome (14431813441).

The spelling of 10020411440 in words is "ten billion, twenty million, four hundred eleven thousand, four hundred forty".