71122991414400 has 1920 divisors, whose sum is σ = 284991047352000. Its totient is φ = 17405300736000.

The previous prime is 71122991414399. The next prime is 71122991414413. The reversal of 71122991414400 is 441419922117.

71122991414400 is a `hidden beast` number, since 7 + 1 + 1 + 229 + 9 + 1 + 4 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×71122991414400² (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 239 ways as a sum of consecutive naturals, for example, 49016533675 + ... + 49016535125.

Almost surely, 2^{71122991414400} 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 71122991414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142495523676000).

71122991414400 is an abundant number, since it is smaller than the sum of its proper divisors (213868055937600).

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

71122991414400 is a wasteful number, since it uses less digits than its factorization.

71122991414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 71122991414400 in words is "seventy-one trillion, one hundred twenty-two billion, nine hundred ninety-one million, four hundred fourteen thousand, four hundred".