221411214357040 has 80 divisors (see below), whose sum is σ = 528020293109760. Its totient is φ = 86313410472960.

The previous prime is 221411214357017. The next prime is 221411214357041. The reversal of 221411214357040 is 40753412114122.

221411214357040 is digitally balanced in base 2, 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 (80).

It is not an unprimeable number, because it can be changed into a prime (221411214357041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207592624 + ... + 208656463.

It is an arithmetic number, because the mean of its divisors is an integer number (6600253663872).

Almost surely, 2^{221411214357040} is an apocalyptic number.

221411214357040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221411214357040 is an abundant number, since it is smaller than the sum of its proper divisors (306609078752720).

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

221411214357040 is a wasteful number, since it uses less digits than its factorization.

221411214357040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416249270 (or 416249264 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 221411214357040 in words is "two hundred twenty-one trillion, four hundred eleven billion, two hundred fourteen million, three hundred fifty-seven thousand, forty".