221034410034000 has 160 divisors (see below), whose sum is σ = 712904784209280. Its totient is φ = 58918535296000.

The previous prime is 221034410033971. The next prime is 221034410034023. The reversal of 221034410034000 is 430014430122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7263340 + ... + 22244660.

It is an arithmetic number, because the mean of its divisors is an integer number (4455654901308).

Almost surely, 2^{221034410034000} is an apocalyptic number.

221034410034000 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 221034410034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356452392104640).

221034410034000 is an abundant number, since it is smaller than the sum of its proper divisors (491870374175280).

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

221034410034000 is a wasteful number, since it uses less digits than its factorization.

221034410034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14983806 (or 14983790 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221034410034000 its reverse (430014430122), we get a palindrome (221464424464122).

The spelling of 221034410034000 in words is "two hundred twenty-one trillion, thirty-four billion, four hundred ten million, thirty-four thousand".