21044950914240 has 1344 divisors, whose sum is σ = 82620338411520. Its totient is φ = 4870139904000.

The previous prime is 21044950914193. The next prime is 21044950914301. The reversal of 21044950914240 is 4241905944012.

21044950914240 is a `hidden beast` number, since 2 + 10 + 4 + 495 + 0 + 9 + 142 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 45064134487 + ... + 45064134953.

It is an arithmetic number, because the mean of its divisors is an integer number (61473466080).

Almost surely, 2^{21044950914240} is an apocalyptic number.

21044950914240 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 21044950914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41310169205760).

21044950914240 is an abundant number, since it is smaller than the sum of its proper divisors (61575387497280).

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

21044950914240 is a wasteful number, since it uses less digits than its factorization.

21044950914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21044950914240 in words is "twenty-one trillion, forty-four billion, nine hundred fifty million, nine hundred fourteen thousand, two hundred forty".