20130233240040 has 256 divisors, whose sum is σ = 75319393536000. Its totient is φ = 4181400468480.

The previous prime is 20130233240023. The next prime is 20130233240059. The reversal of 20130233240040 is 4004233203102.

It is a super-2 number, since 2×20130233240040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25379791 + ... + 26160929.

It is an arithmetic number, because the mean of its divisors is an integer number (294216381000).

Almost surely, 2^{20130233240040} is an apocalyptic number.

20130233240040 is a gapful number since it is divisible by the number (20) 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 20130233240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37659696768000).

20130233240040 is an abundant number, since it is smaller than the sum of its proper divisors (55189160295960).

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

20130233240040 is a wasteful number, since it uses less digits than its factorization.

20130233240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783960 (or 783956 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20130233240040 its reverse (4004233203102), we get a palindrome (24134466443142).

The spelling of 20130233240040 in words is "twenty trillion, one hundred thirty billion, two hundred thirty-three million, two hundred forty thousand, forty".