7214420814480 has 1440 divisors, whose sum is σ = 28510928933760. Its totient is φ = 1619896320000.

The previous prime is 7214420814443. The next prime is 7214420814493. The reversal of 7214420814480 is 844180244127.

7214420814480 is a `hidden beast` number, since 7 + 2 + 1 + 4 + 420 + 8 + 144 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19035410931 + ... + 19035411309.

It is an arithmetic number, because the mean of its divisors is an integer number (19799256204).

Almost surely, 2^{7214420814480} 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 7214420814480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14255464466880).

7214420814480 is an abundant number, since it is smaller than the sum of its proper divisors (21296508119280).

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

7214420814480 is a wasteful number, since it uses less digits than its factorization.

7214420814480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 7214420814480 in words is "seven trillion, two hundred fourteen billion, four hundred twenty million, eight hundred fourteen thousand, four hundred eighty".