7201217212440 has 128 divisors (see below), whose sum is σ = 21672155232000. Its totient is φ = 1914237135360.

The previous prime is 7201217212403. The next prime is 7201217212447. The reversal of 7201217212440 is 442127121027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7201217212447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482550819 + ... + 482565741.

It is an arithmetic number, because the mean of its divisors is an integer number (169313712750).

Almost surely, 2^{7201217212440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7201217212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10836077616000).

7201217212440 is an abundant number, since it is smaller than the sum of its proper divisors (14470938019560).

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

7201217212440 is a wasteful number, since it uses less digits than its factorization.

7201217212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27417 (or 27413 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 7201217212440 in words is "seven trillion, two hundred one billion, two hundred seventeen million, two hundred twelve thousand, four hundred forty".