97939261440 has 288 divisors, whose sum is σ = 341961623640. Its totient is φ = 25923158016.

The previous prime is 97939261439. The next prime is 97939261447. The reversal of 97939261440 is 4416293979.

97939261440 is a `hidden beast` number, since 97 + 93 + 9 + 26 + 1 + 440 = 666.

97939261440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 92202107904 + 5737153536 = 303648^2 + 75744^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (97939261447) 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 23 ways as a sum of consecutive naturals, for example, 12622042 + ... + 12629798.

Almost surely, 2^97939261440 is an apocalyptic number.

97939261440 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 97939261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170980811820).

97939261440 is an abundant number, since it is smaller than the sum of its proper divisors (244022362200).

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

97939261440 is a wasteful number, since it uses less digits than its factorization.

97939261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 97939261440 in words is "ninety-seven billion, nine hundred thirty-nine million, two hundred sixty-one thousand, four hundred forty".