221960874240 has 432 divisors, whose sum is σ = 916256194560. Its totient is φ = 50733527040.

The previous prime is 221960874229. The next prime is 221960874241. The reversal of 221960874240 is 42478069122.

221960874240 is a `hidden beast` number, since 2 + 2 + 19 + 608 + 7 + 4 + 24 + 0 = 666.

221960874240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (221960874241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1627905 + ... + 1758975.

Almost surely, 2^221960874240 is an apocalyptic number.

221960874240 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 221960874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458128097280).

221960874240 is an abundant number, since it is smaller than the sum of its proper divisors (694295320320).

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

221960874240 is a wasteful number, since it uses less digits than its factorization.

221960874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131115 (or 131088 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 221960874240 in words is "two hundred twenty-one billion, nine hundred sixty million, eight hundred seventy-four thousand, two hundred forty".