20743234406400 has 1728 divisors, whose sum is σ = 82967579735040. Its totient is φ = 4524631654400.

The previous prime is 20743234406311. The next prime is 20743234406429. The reversal of 20743234406400 is 460443234702.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11230770277 + ... + 11230772123.

It is an arithmetic number, because the mean of its divisors is an integer number (48013645680).

Almost surely, 2^{20743234406400} is an apocalyptic number.

20743234406400 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 20743234406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41483789867520).

20743234406400 is an abundant number, since it is smaller than the sum of its proper divisors (62224345328640).

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

20743234406400 is a wasteful number, since it uses less digits than its factorization.

20743234406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 39.

The spelling of 20743234406400 in words is "twenty trillion, seven hundred forty-three billion, two hundred thirty-four million, four hundred six thousand, four hundred".