20229058440 has 192 divisors, whose sum is σ = 68953248000. Its totient is φ = 5133528576.

The previous prime is 20229058393. The next prime is 20229058441. The reversal of 20229058440 is 4485092202.

20229058440 is a `hidden beast` number, since 202 + 2 + 9 + 0 + 5 + 8 + 440 = 666.

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 = 20229058395 and 20229058404.

It is not an unprimeable number, because it can be changed into a prime (20229058441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1641582 + ... + 1653858.

It is an arithmetic number, because the mean of its divisors is an integer number (359131500).

Almost surely, 2^20229058440 is an apocalyptic number.

20229058440 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 20229058440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34476624000).

20229058440 is an abundant number, since it is smaller than the sum of its proper divisors (48724189560).

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

20229058440 is a wasteful number, since it uses less digits than its factorization.

20229058440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12516 (or 12509 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20229058440 in words is "twenty billion, two hundred twenty-nine million, fifty-eight thousand, four hundred forty".