21442638297600 has 4800 divisors, whose sum is σ = 96682088616960. Its totient is φ = 4643802316800.

The previous prime is 21442638297557. The next prime is 21442638297629. The reversal of 21442638297600 is 679283624412.

It is a happy number.

21442638297600 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 2 + 6 + 3 + 8 + 29 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 293734771164 + ... + 293734771236.

Almost surely, 2^{21442638297600} is an apocalyptic number.

21442638297600 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 21442638297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48341044308480).

21442638297600 is an abundant number, since it is smaller than the sum of its proper divisors (75239450319360).

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

21442638297600 is a wasteful number, since it uses less digits than its factorization.

21442638297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 21442638297600 in words is "twenty-one trillion, four hundred forty-two billion, six hundred thirty-eight million, two hundred ninety-seven thousand, six hundred".