20082613440 has 448 divisors, whose sum is σ = 68493680640. Its totient is φ = 4976640000.

The previous prime is 20082613427. The next prime is 20082613487. The reversal of 20082613440 is 4431628002.

It is a super-2 number, since 2×20082613440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20082613398 and 20082613407.

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 63 ways as a sum of consecutive naturals, for example, 132997365 + ... + 132997515.

It is an arithmetic number, because the mean of its divisors is an integer number (152887680).

Almost surely, 2^20082613440 is an apocalyptic number.

20082613440 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 20082613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34246840320).

20082613440 is an abundant number, since it is smaller than the sum of its proper divisors (48411067200).

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

20082613440 is a wasteful number, since it uses less digits than its factorization.

20082613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 20082613440 in words is "twenty billion, eighty-two million, six hundred thirteen thousand, four hundred forty".