20411274400 has 576 divisors, whose sum is σ = 62366008320. Its totient is φ = 6425395200.

The previous prime is 20411274391. The next prime is 20411274409. The reversal of 20411274400 is 447211402.

It is an interprime number because it is at equal distance from previous prime (20411274391) and next prime (20411274409).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20411274409) 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 95 ways as a sum of consecutive naturals, for example, 122223117 + ... + 122223283.

It is an arithmetic number, because the mean of its divisors is an integer number (108274320).

Almost surely, 2^20411274400 is an apocalyptic number.

20411274400 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 20411274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31183004160).

20411274400 is an abundant number, since it is smaller than the sum of its proper divisors (41954733920).

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

20411274400 is a wasteful number, since it uses less digits than its factorization.

20411274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

Adding to 20411274400 its reverse (447211402), we get a palindrome (20858485802).

The spelling of 20411274400 in words is "twenty billion, four hundred eleven million, two hundred seventy-four thousand, four hundred".