7271421393600 has 2016 divisors, whose sum is σ = 32602411645440. Its totient is φ = 1496336302080.

The previous prime is 7271421393563. The next prime is 7271421393611. The reversal of 7271421393600 is 63931241727.

7271421393600 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 4 + 2 + 1 + 39 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×7271421393600² (a number of 27 digits) contains 22 as substring.

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, 12602116512 + ... + 12602117088.

Almost surely, 2^{7271421393600} is an apocalyptic number.

7271421393600 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 7271421393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16301205822720).

7271421393600 is an abundant number, since it is smaller than the sum of its proper divisors (25330990251840).

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

7271421393600 is a wasteful number, since it uses less digits than its factorization.

7271421393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 7271421393600 in words is "seven trillion, two hundred seventy-one billion, four hundred twenty-one million, three hundred ninety-three thousand, six hundred".