21790714313400 has 192 divisors, whose sum is σ = 68483251077120. Its totient is φ = 5730697497600.

The previous prime is 21790714313393. The next prime is 21790714313437. The reversal of 21790714313400 is 431341709712.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644850505 + ... + 644884295.

It is an arithmetic number, because the mean of its divisors is an integer number (356683599360).

Almost surely, 2^{21790714313400} is an apocalyptic number.

21790714313400 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 21790714313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34241625538560).

21790714313400 is an abundant number, since it is smaller than the sum of its proper divisors (46692536763720).

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

21790714313400 is a wasteful number, since it uses less digits than its factorization.

21790714313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48606 (or 48597 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 21790714313400 in words is "twenty-one trillion, seven hundred ninety billion, seven hundred fourteen million, three hundred thirteen thousand, four hundred".