71422181550720 has 6144 divisors, whose sum is σ = 365985008640000. Its totient is φ = 12744657469440.

The previous prime is 71422181550691. The next prime is 71422181550743. The reversal of 71422181550720 is 2705518122417.

71422181550720 is a `hidden beast` number, since 7 + 1 + 4 + 2 + 21 + 8 + 1 + 550 + 72 + 0 = 666.

It is a super-2 number, since 2×71422181550720² (a number of 29 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 767 ways as a sum of consecutive naturals, for example, 311887255566 + ... + 311887255794.

It is an arithmetic number, because the mean of its divisors is an integer number (59567872500).

Almost surely, 2^{71422181550720} is an apocalyptic number.

71422181550720 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 71422181550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182992504320000).

71422181550720 is an abundant number, since it is smaller than the sum of its proper divisors (294562827089280).

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

71422181550720 is a wasteful number, since it uses less digits than its factorization.

71422181550720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 71422181550720 in words is "seventy-one trillion, four hundred twenty-two billion, one hundred eighty-one million, five hundred fifty thousand, seven hundred twenty".