7217246489040 has 1280 divisors, whose sum is σ = 30975400304640. Its totient is φ = 1506727526400.

The previous prime is 7217246489027. The next prime is 7217246489111. The reversal of 7217246489040 is 409846427127.

7217246489040 is a `hidden beast` number, since 7 + 2 + 172 + 464 + 8 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4973980315 + ... + 4973981765.

It is an arithmetic number, because the mean of its divisors is an integer number (24199531488).

Almost surely, 2^{7217246489040} is an apocalyptic number.

7217246489040 is a gapful number since it is divisible by the number (70) 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 7217246489040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15487700152320).

7217246489040 is an abundant number, since it is smaller than the sum of its proper divisors (23758153815600).

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

7217246489040 is a wasteful number, since it uses less digits than its factorization.

7217246489040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 7217246489040 in words is "seven trillion, two hundred seventeen billion, two hundred forty-six million, four hundred eighty-nine thousand, forty".