20650414400 has 336 divisors, whose sum is σ = 65406861312. Its totient is φ = 6227712000.

The previous prime is 20650414391. The next prime is 20650414409. The reversal of 20650414400 is 441405602.

It is an interprime number because it is at equal distance from previous prime (20650414391) and next prime (20650414409).

It is a super-2 number, since 2×20650414400² (a number of 21 digits) contains 22 as substring.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 20650414400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20650414409) 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, 3816497 + ... + 3821903.

Almost surely, 2^20650414400 is an apocalyptic number.

20650414400 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 20650414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32703430656).

20650414400 is an abundant number, since it is smaller than the sum of its proper divisors (44756446912).

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

20650414400 is a wasteful number, since it uses less digits than its factorization.

20650414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 20650414400 in words is "twenty billion, six hundred fifty million, four hundred fourteen thousand, four hundred".