21244958346240 has 1408 divisors, whose sum is σ = 80096719104000. Its totient is φ = 5332303872000.

The previous prime is 21244958346229. The next prime is 21244958346263. The reversal of 21244958346240 is 4264385944212.

21244958346240 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 4 + 9 + 5 + 8 + 3 + 4 + 624 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 28748251791 + ... + 28748252529.

Almost surely, 2^{21244958346240} is an apocalyptic number.

21244958346240 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 21244958346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40048359552000).

21244958346240 is an abundant number, since it is smaller than the sum of its proper divisors (58851760757760).

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

21244958346240 is a wasteful number, since it uses less digits than its factorization.

21244958346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 21244958346240 in words is "twenty-one trillion, two hundred forty-four billion, nine hundred fifty-eight million, three hundred forty-six thousand, two hundred forty".