221557440735400 has 192 divisors, whose sum is σ = 642829664304000. Its totient is φ = 68992260019200.

The previous prime is 221557440735377. The next prime is 221557440735427. The reversal of 221557440735400 is 4537044755122.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9733486 + ... + 23191714.

It is an arithmetic number, because the mean of its divisors is an integer number (3348071168250).

Almost surely, 2^{221557440735400} is an apocalyptic number.

221557440735400 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 221557440735400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321414832152000).

221557440735400 is an abundant number, since it is smaller than the sum of its proper divisors (421272223568600).

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

221557440735400 is a wasteful number, since it uses less digits than its factorization.

221557440735400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13459332 (or 13459323 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 49.

The spelling of 221557440735400 in words is "two hundred twenty-one trillion, five hundred fifty-seven billion, four hundred forty million, seven hundred thirty-five thousand, four hundred".