864335315040 has 288 divisors, whose sum is σ = 2862891482976. Its totient is φ = 219036303360.

The previous prime is 864335315009. The next prime is 864335315117. The reversal of 864335315040 is 40513533468.

It is a junction number, because it is equal to n+sod(n) for n = 864335314983 and 864335315001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32825080 + ... + 32851400.

It is an arithmetic number, because the mean of its divisors is an integer number (9940595427).

Almost surely, 2^864335315040 is an apocalyptic number.

864335315040 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 864335315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431445741488).

864335315040 is an abundant number, since it is smaller than the sum of its proper divisors (1998556167936).

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

864335315040 is a wasteful number, since it uses less digits than its factorization.

864335315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26462 (or 26411 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 864335315040 in words is "eight hundred sixty-four billion, three hundred thirty-five million, three hundred fifteen thousand, forty".