20418130944 has 176 divisors, whose sum is σ = 61498430400. Its totient is φ = 6690152448.

The previous prime is 20418130921. The next prime is 20418130951. The reversal of 20418130944 is 44903181402.

It is a happy number.

20418130944 is a `hidden beast` number, since 20 + 418 + 130 + 94 + 4 = 666.

It is a super-2 number, since 2×20418130944² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20418130899 and 20418130908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624974 + ... + 1637490.

It is an arithmetic number, because the mean of its divisors is an integer number (349422900).

Almost surely, 2^20418130944 is an apocalyptic number.

20418130944 is a gapful number since it is divisible by the number (24) 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 20418130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30749215200).

20418130944 is an abundant number, since it is smaller than the sum of its proper divisors (41080299456).

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

20418130944 is a wasteful number, since it uses less digits than its factorization.

20418130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12605 (or 12581 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20418130944 in words is "twenty billion, four hundred eighteen million, one hundred thirty thousand, nine hundred forty-four".