97441021440 has 640 divisors, whose sum is σ = 406329707520. Its totient is φ = 21666299904.

The previous prime is 97441021423. The next prime is 97441021499. The reversal of 97441021440 is 4412014479.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97441021395 and 97441021404.

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 63 ways as a sum of consecutive naturals, for example, 17899359 + ... + 17904801.

It is an arithmetic number, because the mean of its divisors is an integer number (634890168).

Almost surely, 2^97441021440 is an apocalyptic number.

97441021440 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 97441021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203164853760).

97441021440 is an abundant number, since it is smaller than the sum of its proper divisors (308888686080).

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

97441021440 is a wasteful number, since it uses less digits than its factorization.

97441021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 97441021440 in words is "ninety-seven billion, four hundred forty-one million, twenty-one thousand, four hundred forty".