21442497120 has 1152 divisors, whose sum is σ = 92665036800. Its totient is φ = 4598415360.

The previous prime is 21442497119. The next prime is 21442497127. The reversal of 21442497120 is 2179424412.

It is a happy number.

21442497120 is a `hidden beast` number, since 2 + 1 + 4 + 42 + 497 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21442497127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168838497 + ... + 168838623.

It is an arithmetic number, because the mean of its divisors is an integer number (80438400).

Almost surely, 2^21442497120 is an apocalyptic number.

21442497120 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 21442497120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46332518400).

21442497120 is an abundant number, since it is smaller than the sum of its proper divisors (71222539680).

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

21442497120 is a wasteful number, since it uses less digits than its factorization.

21442497120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21442497120 in words is "twenty-one billion, four hundred forty-two million, four hundred ninety-seven thousand, one hundred twenty".