873972421440 has 224 divisors, whose sum is σ = 2796115230720. Its totient is φ = 231280281600.

The previous prime is 873972421417. The next prime is 873972421489. The reversal of 873972421440 is 44124279378.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79022631 + ... + 79033689.

It is an arithmetic number, because the mean of its divisors is an integer number (12482657280).

Almost surely, 2^873972421440 is an apocalyptic number.

873972421440 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 873972421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398057615360).

873972421440 is an abundant number, since it is smaller than the sum of its proper divisors (1922142809280).

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

873972421440 is a wasteful number, since it uses less digits than its factorization.

873972421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11701 (or 11691 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 873972421440 in words is "eight hundred seventy-three billion, nine hundred seventy-two million, four hundred twenty-one thousand, four hundred forty".