20110130040 has 1024 divisors, whose sum is σ = 87787929600. Its totient is φ = 3548160000.

The previous prime is 20110130039. The next prime is 20110130041. The reversal of 20110130040 is 4003101102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20110130039) and next prime (20110130041).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20110129998 and 20110130025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110130041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 80119915 + ... + 80120165.

It is an arithmetic number, because the mean of its divisors is an integer number (85730400).

Almost surely, 2^20110130040 is an apocalyptic number.

20110130040 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 20110130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43893964800).

20110130040 is an abundant number, since it is smaller than the sum of its proper divisors (67677799560).

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

20110130040 is a wasteful number, since it uses less digits than its factorization.

20110130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20110130040 its reverse (4003101102), we get a palindrome (24113231142).

The spelling of 20110130040 in words is "twenty billion, one hundred ten million, one hundred thirty thousand, forty".