97406410000 has 75 divisors (see below), whose sum is σ = 235906245993. Its totient is φ = 38950080000.

The previous prime is 97406409943. The next prime is 97406410009. The reversal of 97406410000 is 1460479.

The square root of 97406410000 is 312100.

It is a perfect power (a square), and thus also a powerful number.

97406410000 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 7 ways, for example, as 91042199824 + 6364210176 = 301732^2 + 79776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97406410009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 31208440 + ... + 31211560.

Almost surely, 2^97406410000 is an apocalyptic number.

97406410000 is the 312100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97406410000

97406410000 is an abundant number, since it is smaller than the sum of its proper divisors (138499835993).

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

97406410000 is an frugal number, since it uses more digits than its factorization.

97406410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6270 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 97406410000 its reverse (1460479), we get a palindrome (97407870479).

It can be divided in two parts, 974064 and 10000, that added together give a square (984064 = 992²).

The spelling of 97406410000 in words is "ninety-seven billion, four hundred six million, four hundred ten thousand".