21919847040 has 1536 divisors, whose sum is σ = 102651494400. Its totient is φ = 4180377600.

The previous prime is 21919846973. The next prime is 21919847051. The reversal of 21919847040 is 4074891912.

It is a happy number.

21919847040 is a `hidden beast` number, since 2 + 1 + 91 + 98 + 470 + 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, 308730205 + ... + 308730275.

It is an arithmetic number, because the mean of its divisors is an integer number (66830400).

Almost surely, 2^21919847040 is an apocalyptic number.

21919847040 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 21919847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51325747200).

21919847040 is an abundant number, since it is smaller than the sum of its proper divisors (80731647360).

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

21919847040 is a wasteful number, since it uses less digits than its factorization.

21919847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 21919847040 in words is "twenty-one billion, nine hundred nineteen million, eight hundred forty-seven thousand, forty".