896364139440 has 960 divisors, whose sum is σ = 3791598750720. Its totient is φ = 169589145600.

The previous prime is 896364139399. The next prime is 896364139501. The reversal of 896364139440 is 44931463698.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 301906276 + ... + 301909244.

It is an arithmetic number, because the mean of its divisors is an integer number (3949582032).

Almost surely, 2^896364139440 is an apocalyptic number.

896364139440 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 896364139440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895799375360).

896364139440 is an abundant number, since it is smaller than the sum of its proper divisors (2895234611280).

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

896364139440 is a wasteful number, since it uses less digits than its factorization.

896364139440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 896364139440 in words is "eight hundred ninety-six billion, three hundred sixty-four million, one hundred thirty-nine thousand, four hundred forty".