869412546240 has 224 divisors, whose sum is σ = 3155517249024. Its totient is φ = 198672998400.

The previous prime is 869412546229. The next prime is 869412546251. The reversal of 869412546240 is 42645214968.

It is an interprime number because it is at equal distance from previous prime (869412546229) and next prime (869412546251).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31240812 + ... + 31268628.

It is an arithmetic number, because the mean of its divisors is an integer number (14087130576).

Almost surely, 2^869412546240 is an apocalyptic number.

869412546240 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 869412546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577758624512).

869412546240 is an abundant number, since it is smaller than the sum of its proper divisors (2286104702784).

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

869412546240 is a wasteful number, since it uses less digits than its factorization.

869412546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32495 (or 32485 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 869412546240 in words is "eight hundred sixty-nine billion, four hundred twelve million, five hundred forty-six thousand, two hundred forty".