21460550040 has 192 divisors, whose sum is σ = 70357248000. Its totient is φ = 5672975616.

The previous prime is 21460550021. The next prime is 21460550053. The reversal of 21460550040 is 4005506412.

21460550040 is a `hidden beast` number, since 2 + 1 + 4 + 605 + 50 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21460549986 and 21460550013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33168997 + ... + 33169643.

It is an arithmetic number, because the mean of its divisors is an integer number (366444000).

Almost surely, 2^21460550040 is an apocalyptic number.

21460550040 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 21460550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35178624000).

21460550040 is an abundant number, since it is smaller than the sum of its proper divisors (48896697960).

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

21460550040 is a wasteful number, since it uses less digits than its factorization.

21460550040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 21460550040 in words is "twenty-one billion, four hundred sixty million, five hundred fifty thousand, forty".