96042493440 has 480 divisors, whose sum is σ = 342883116576. Its totient is φ = 24829624320.

The previous prime is 96042493427. The next prime is 96042493447. The reversal of 96042493440 is 4439424069.

96042493440 is a `hidden beast` number, since 9 + 60 + 4 + 249 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96042493447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276779347 + ... + 276779693.

Almost surely, 2^96042493440 is an apocalyptic number.

96042493440 is a gapful number since it is divisible by the number (90) 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 96042493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171441558288).

96042493440 is an abundant number, since it is smaller than the sum of its proper divisors (246840623136).

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

96042493440 is a wasteful number, since it uses less digits than its factorization.

96042493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 96042493440 in words is "ninety-six billion, forty-two million, four hundred ninety-three thousand, four hundred forty".