2221145401440 has 384 divisors, whose sum is σ = 8041320161280. Its totient is φ = 504826380288.

The previous prime is 2221145401411. The next prime is 2221145401451. The reversal of 2221145401440 is 441045411222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2221145401398 and 2221145401407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1241556066 + ... + 1241557854.

It is an arithmetic number, because the mean of its divisors is an integer number (20940937920).

Almost surely, 2^{2221145401440} is an apocalyptic number.

2221145401440 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 2221145401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020660080640).

2221145401440 is an abundant number, since it is smaller than the sum of its proper divisors (5820174759840).

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

2221145401440 is a wasteful number, since it uses less digits than its factorization.

2221145401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 2221145401440 in words is "two trillion, two hundred twenty-one billion, one hundred forty-five million, four hundred one thousand, four hundred forty".