221411304941400 has 576 divisors, whose sum is σ = 879562852945920. Its totient is φ = 48844438041600.

The previous prime is 221411304941377. The next prime is 221411304941401. The reversal of 221411304941400 is 4149403114122.

221411304941400 is a `hidden beast` number, since 2 + 2 + 1 + 41 + 130 + 49 + 41 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221411304941401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144933949 + ... + 146453651.

It is an arithmetic number, because the mean of its divisors is an integer number (1527018841920).

Almost surely, 2^{221411304941400} is an apocalyptic number.

221411304941400 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 221411304941400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439781426472960).

221411304941400 is an abundant number, since it is smaller than the sum of its proper divisors (658151548004520).

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

221411304941400 is a wasteful number, since it uses less digits than its factorization.

221411304941400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520136 (or 1520124 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 221411304941400 in words is "two hundred twenty-one trillion, four hundred eleven billion, three hundred four million, nine hundred forty-one thousand, four hundred".