10020310440 has 256 divisors, whose sum is σ = 36358502400. Its totient is φ = 2158119936.

The previous prime is 10020310429. The next prime is 10020310441. The reversal of 10020310440 is 4401302001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10020310441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3142527 + ... + 3145713.

It is an arithmetic number, because the mean of its divisors is an integer number (142025400).

Almost surely, 2^10020310440 is an apocalyptic number.

10020310440 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 10020310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179251200).

10020310440 is an abundant number, since it is smaller than the sum of its proper divisors (26338191960).

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

10020310440 is a wasteful number, since it uses less digits than its factorization.

10020310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10020310440 its reverse (4401302001), we get a palindrome (14421612441).

The spelling of 10020310440 in words is "ten billion, twenty million, three hundred ten thousand, four hundred forty".