7201271720448 has 640 divisors, whose sum is σ = 23300386179840. Its totient is φ = 2182776422400.

The previous prime is 7201271720411. The next prime is 7201271720479. The reversal of 7201271720448 is 8440271721027.

7201271720448 is a `hidden beast` number, since 7 + 20 + 12 + 7 + 172 + 0 + 448 = 666.

It is a super-2 number, since 2×7201271720448² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 3788148298 + ... + 3788150198.

It is an arithmetic number, because the mean of its divisors is an integer number (36406853406).

Almost surely, 2^{7201271720448} is an apocalyptic number.

7201271720448 is a gapful number since it is divisible by the number (78) 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 7201271720448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650193089920).

7201271720448 is an abundant number, since it is smaller than the sum of its proper divisors (16099114459392).

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

7201271720448 is a wasteful number, since it uses less digits than its factorization.

7201271720448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 7201271720448 in words is "seven trillion, two hundred one billion, two hundred seventy-one million, seven hundred twenty thousand, four hundred forty-eight".