86438327040 has 432 divisors, whose sum is σ = 334017055008. Its totient is φ = 21276131328.

The previous prime is 86438327033. The next prime is 86438327047. The reversal of 86438327040 is 4072383468.

86438327040 is a `hidden beast` number, since 86 + 438 + 32 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (86438327033) and next prime (86438327047).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (86438327047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4032832 + ... + 4054208.

Almost surely, 2^86438327040 is an apocalyptic number.

86438327040 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 86438327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167008527504).

86438327040 is an abundant number, since it is smaller than the sum of its proper divisors (247578727968).

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

86438327040 is a wasteful number, since it uses less digits than its factorization.

86438327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21426 (or 21400 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 86438327040 in words is "eighty-six billion, four hundred thirty-eight million, three hundred twenty-seven thousand, forty".