20226355430400 has 1056 divisors, whose sum is σ = 87626786447360. Its totient is φ = 4473999360000.

The previous prime is 20226355430383. The next prime is 20226355430459. The reversal of 20226355430400 is 403455362202.

20226355430400 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 63 + 554 + 3 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149922975 + ... + 150057825.

Almost surely, 2^{20226355430400} is an apocalyptic number.

20226355430400 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 20226355430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43813393223680).

20226355430400 is an abundant number, since it is smaller than the sum of its proper divisors (67400431016960).

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

20226355430400 is a wasteful number, since it uses less digits than its factorization.

20226355430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134928 (or 134899 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 20226355430400 in words is "twenty trillion, two hundred twenty-six billion, three hundred fifty-five million, four hundred thirty thousand, four hundred".