869432855040 has 960 divisors, whose sum is σ = 3362715772416. Its totient is φ = 206476148736.

The previous prime is 869432854951. The next prime is 869432855077. The reversal of 869432855040 is 40558234968.

869432855040 is a `hidden beast` number, since 8 + 6 + 9 + 43 + 2 + 8 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 927889452 + ... + 927890388.

Almost surely, 2^869432855040 is an apocalyptic number.

869432855040 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 869432855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681357886208).

869432855040 is an abundant number, since it is smaller than the sum of its proper divisors (2493282917376).

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

869432855040 is a wasteful number, since it uses less digits than its factorization.

869432855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 869432855040 in words is "eight hundred sixty-nine billion, four hundred thirty-two million, eight hundred fifty-five thousand, forty".