21210091232040 has 512 divisors, whose sum is σ = 75849145344000. Its totient is φ = 5256022348800.

The previous prime is 21210091232027. The next prime is 21210091232041. The reversal of 21210091232040 is 4023219001212.

21210091232040 is a `hidden beast` number, since 2 + 1 + 210 + 0 + 91 + 2 + 320 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21210091231995 and 21210091232013.

It is not an unprimeable number, because it can be changed into a prime (21210091232041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 459358155 + ... + 459404325.

It is an arithmetic number, because the mean of its divisors is an integer number (148142862000).

Almost surely, 2^{21210091232040} is an apocalyptic number.

21210091232040 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 21210091232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37924572672000).

21210091232040 is an abundant number, since it is smaller than the sum of its proper divisors (54639054111960).

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

21210091232040 is a wasteful number, since it uses less digits than its factorization.

21210091232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46638 (or 46628 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 21210091232040 in words is "twenty-one trillion, two hundred ten billion, ninety-one million, two hundred thirty-two thousand, forty".