221299736810040 has 512 divisors, whose sum is σ = 845878176000000. Its totient is φ = 50413096452096.

The previous prime is 221299736810023. The next prime is 221299736810077. The reversal of 221299736810040 is 40018637992122.

221299736810040 is a `hidden beast` number, since 22 + 129 + 97 + 368 + 10 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 4094400936 + ... + 4094454984.

It is an arithmetic number, because the mean of its divisors is an integer number (1652105812500).

Almost surely, 2^{221299736810040} is an apocalyptic number.

221299736810040 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 221299736810040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422939088000000).

221299736810040 is an abundant number, since it is smaller than the sum of its proper divisors (624578439189960).

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

221299736810040 is a wasteful number, since it uses less digits than its factorization.

221299736810040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55884 (or 55874 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 221299736810040 in words is "two hundred twenty-one trillion, two hundred ninety-nine billion, seven hundred thirty-six million, eight hundred ten thousand, forty".