71199996134400 has 2376 divisors, whose sum is σ = 316504519512480. Its totient is φ = 15203197255680.

The previous prime is 71199996134369. The next prime is 71199996134437. The reversal of 71199996134400 is 443169999117.

71199996134400 is a `hidden beast` number, since 7 + 1 + 1 + 9 + 9 + 9 + 9 + 613 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15658672927 + ... + 15658677473.

Almost surely, 2^{71199996134400} is an apocalyptic number.

71199996134400 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 71199996134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158252259756240).

71199996134400 is an abundant number, since it is smaller than the sum of its proper divisors (245304523378080).

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

71199996134400 is a wasteful number, since it uses less digits than its factorization.

71199996134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 71199996134400 in words is "seventy-one trillion, one hundred ninety-nine billion, nine hundred ninety-six million, one hundred thirty-four thousand, four hundred".