20422460400 has 240 divisors, whose sum is σ = 69406771968. Its totient is φ = 5115392000.

The previous prime is 20422460381. The next prime is 20422460407. The reversal of 20422460400 is 406422402.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20422460407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19807885 + ... + 19808915.

Almost surely, 2^20422460400 is an apocalyptic number.

20422460400 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 20422460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34703385984).

20422460400 is an abundant number, since it is smaller than the sum of its proper divisors (48984311568).

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

20422460400 is a wasteful number, since it uses less digits than its factorization.

20422460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20422460400 its reverse (406422402), we get a palindrome (20828882802).

The spelling of 20422460400 in words is "twenty billion, four hundred twenty-two million, four hundred sixty thousand, four hundred".