7286712134400 has 864 divisors, whose sum is σ = 27003450626880. Its totient is φ = 1922602106880.

The previous prime is 7286712134399. The next prime is 7286712134417. The reversal of 7286712134400 is 44312176827.

7286712134400 is a `hidden beast` number, since 7 + 2 + 86 + 7 + 121 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×7286712134400² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9142674802 + ... + 9142675598.

Almost surely, 2^{7286712134400} 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 7286712134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13501725313440).

7286712134400 is an abundant number, since it is smaller than the sum of its proper divisors (19716738492480).

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

7286712134400 is a wasteful number, since it uses less digits than its factorization.

7286712134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 7286712134400 in words is "seven trillion, two hundred eighty-six billion, seven hundred twelve million, one hundred thirty-four thousand, four hundred".