20100263040 has 768 divisors, whose sum is σ = 85168661760. Its totient is φ = 4298342400.

The previous prime is 20100263023. The next prime is 20100263059. The reversal of 20100263040 is 4036200102.

It is a happy number.

20100263040 is a `hidden beast` number, since 20 + 10 + 0 + 2 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 18944110 + ... + 18945170.

It is an arithmetic number, because the mean of its divisors is an integer number (110896695).

Almost surely, 2^20100263040 is an apocalyptic number.

20100263040 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 20100263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42584330880).

20100263040 is an abundant number, since it is smaller than the sum of its proper divisors (65068398720).

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

20100263040 is a wasteful number, since it uses less digits than its factorization.

20100263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20100263040 its reverse (4036200102), we get a palindrome (24136463142).

The spelling of 20100263040 in words is "twenty billion, one hundred million, two hundred sixty-three thousand, forty".