20029283040 has 384 divisors, whose sum is σ = 73632125952. Its totient is φ = 4531322880.

The previous prime is 20029283017. The next prime is 20029283047. The reversal of 20029283040 is 4038292002.

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 = 20029282989 and 20029283007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20029283047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4559245 + ... + 4563635.

It is an arithmetic number, because the mean of its divisors is an integer number (191750328).

Almost surely, 2^20029283040 is an apocalyptic number.

20029283040 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 20029283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36816062976).

20029283040 is an abundant number, since it is smaller than the sum of its proper divisors (53602842912).

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

20029283040 is a wasteful number, since it uses less digits than its factorization.

20029283040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 20029283040 in words is "twenty billion, twenty-nine million, two hundred eighty-three thousand, forty".