81389041679400 has 4608 divisors, whose sum is σ = 360748339200000. Its totient is φ = 15089769676800.

The previous prime is 81389041679389. The next prime is 81389041679417. The reversal of 81389041679400 is 497614098318.

It is a super-2 number, since 2×81389041679400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 594080596132 + ... + 594080596268.

It is an arithmetic number, because the mean of its divisors is an integer number (78287400000).

Almost surely, 2^{81389041679400} 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 81389041679400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180374169600000).

81389041679400 is an abundant number, since it is smaller than the sum of its proper divisors (279359297520600).

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

81389041679400 is a wasteful number, since it uses less digits than its factorization.

81389041679400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 81389041679400 in words is "eighty-one trillion, three hundred eighty-nine billion, forty-one million, six hundred seventy-nine thousand, four hundred".