21741350400 has 1920 divisors, whose sum is σ = 107164569600. Its totient is φ = 4180377600.

The previous prime is 21741350387. The next prime is 21741350483. The reversal of 21741350400 is 405314712.

21741350400 is a `hidden beast` number, since 217 + 41 + 3 + 5 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 505612779 + ... + 505612821.

It is an arithmetic number, because the mean of its divisors is an integer number (55814880).

Almost surely, 2^21741350400 is an apocalyptic number.

21741350400 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 21741350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53582284800).

21741350400 is an abundant number, since it is smaller than the sum of its proper divisors (85423219200).

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

21741350400 is a wasteful number, since it uses less digits than its factorization.

21741350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 21741350400 in words is "twenty-one billion, seven hundred forty-one million, three hundred fifty thousand, four hundred".