87422321041440 has 384 divisors, whose sum is σ = 343443686197248. Its totient is φ = 18159730606080.

The previous prime is 87422321041427. The next prime is 87422321041507. The reversal of 87422321041440 is 4414012322478.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 87422321041392 and 87422321041401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112970712 + ... + 113741928.

It is an arithmetic number, because the mean of its divisors is an integer number (894384599472).

Almost surely, 2^{87422321041440} is an apocalyptic number.

87422321041440 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 87422321041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171721843098624).

87422321041440 is an abundant number, since it is smaller than the sum of its proper divisors (256021365155808).

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

87422321041440 is a wasteful number, since it uses less digits than its factorization.

87422321041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774320 (or 774312 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 87422321041440 in words is "eighty-seven trillion, four hundred twenty-two billion, three hundred twenty-one million, forty-one thousand, four hundred forty".