71212464086400 has 1728 divisors, whose sum is σ = 335081716678800. Its totient is φ = 14234185728000.

The previous prime is 71212464086377. The next prime is 71212464086431. The reversal of 71212464086400 is 468046421217.

71212464086400 is a `hidden beast` number, since 7 + 1 + 2 + 124 + 6 + 40 + 86 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 348464250 + ... + 348668550.

Almost surely, 2^{71212464086400} is an apocalyptic number.

71212464086400 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 71212464086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167540858339400).

71212464086400 is an abundant number, since it is smaller than the sum of its proper divisors (263869252592400).

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

71212464086400 is a wasteful number, since it uses less digits than its factorization.

71212464086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204377 (or 204350 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 71212464086400 in words is "seventy-one trillion, two hundred twelve billion, four hundred sixty-four million, eighty-six thousand, four hundred".