221447593440 has 384 divisors, whose sum is σ = 792112970880. Its totient is φ = 57760874496.

The previous prime is 221447593403. The next prime is 221447593447. The reversal of 221447593440 is 44395744122.

221447593440 is a `hidden beast` number, since 2 + 2 + 14 + 4 + 7 + 593 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221447593447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85400784 + ... + 85403376.

It is an arithmetic number, because the mean of its divisors is an integer number (2062794195).

Almost surely, 2^221447593440 is an apocalyptic number.

221447593440 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 221447593440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396056485440).

221447593440 is an abundant number, since it is smaller than the sum of its proper divisors (570665377440).

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

221447593440 is a wasteful number, since it uses less digits than its factorization.

221447593440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 221447593440 in words is "two hundred twenty-one billion, four hundred forty-seven million, five hundred ninety-three thousand, four hundred forty".