89141437440 has 1056 divisors, whose sum is σ = 362953733760. Its totient is φ = 20570112000.

The previous prime is 89141437423. The next prime is 89141437453. The reversal of 89141437440 is 4473414198.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1461335010 + ... + 1461335070.

Almost surely, 2^89141437440 is an apocalyptic number.

89141437440 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 89141437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181476866880).

89141437440 is an abundant number, since it is smaller than the sum of its proper divisors (273812296320).

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

89141437440 is a wasteful number, since it uses less digits than its factorization.

89141437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 89141437440 in words is "eighty-nine billion, one hundred forty-one million, four hundred thirty-seven thousand, four hundred forty".