221641036751400 has 576 divisors, whose sum is σ = 849889302353280. Its totient is φ = 46781110272000.

The previous prime is 221641036751369. The next prime is 221641036751411. The reversal of 221641036751400 is 4157630146122.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62608750 + ... + 66054050.

It is an arithmetic number, because the mean of its divisors is an integer number (1475502261030).

Almost surely, 2^{221641036751400} is an apocalyptic number.

221641036751400 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 221641036751400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424944651176640).

221641036751400 is an abundant number, since it is smaller than the sum of its proper divisors (628248265601880).

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

221641036751400 is a wasteful number, since it uses less digits than its factorization.

221641036751400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445414 (or 3445388 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

Adding to 221641036751400 its reverse (4157630146122), we get a palindrome (225798666897522).

The spelling of 221641036751400 in words is "two hundred twenty-one trillion, six hundred forty-one billion, thirty-six million, seven hundred fifty-one thousand, four hundred".