882472631040 has 2160 divisors, whose sum is σ = 4277284570944. Its totient is φ = 169046507520.

The previous prime is 882472630999. The next prime is 882472631057. The reversal of 882472631040 is 40136274288.

It is a happy number.

882472631040 is a `hidden beast` number, since 8 + 8 + 2 + 4 + 7 + 2 + 631 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1141620094 + ... + 1141620866.

Almost surely, 2^882472631040 is an apocalyptic number.

882472631040 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 882472631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138642285472).

882472631040 is an abundant number, since it is smaller than the sum of its proper divisors (3394811939904).

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

882472631040 is a wasteful number, since it uses less digits than its factorization.

882472631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 882472631040 in words is "eight hundred eighty-two billion, four hundred seventy-two million, six hundred thirty-one thousand, forty".