86121433405440 has 768 divisors, whose sum is σ = 313536158208000. Its totient is φ = 22413258915840.

The previous prime is 86121433405433. The next prime is 86121433405459. The reversal of 86121433405440 is 4450433412168.

86121433405440 is a `hidden beast` number, since 8 + 6 + 1 + 21 + 43 + 3 + 40 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4665037810 + ... + 4665056270.

It is an arithmetic number, because the mean of its divisors is an integer number (408250206000).

Almost surely, 2^{86121433405440} is an apocalyptic number.

86121433405440 is a gapful number since it is divisible by the number (80) 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 86121433405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156768079104000).

86121433405440 is an abundant number, since it is smaller than the sum of its proper divisors (227414724802560).

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

86121433405440 is a wasteful number, since it uses less digits than its factorization.

86121433405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18903 (or 18877 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 86121433405440 in words is "eighty-six trillion, one hundred twenty-one billion, four hundred thirty-three million, four hundred five thousand, four hundred forty".