97945442400 has 288 divisors, whose sum is σ = 354415315968. Its totient is φ = 23331686400.

The previous prime is 97945442359. The next prime is 97945442407. The reversal of 97945442400 is 424454979.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97945442400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97945442407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916567 + ... + 1017833.

It is an arithmetic number, because the mean of its divisors is an integer number (1230608736).

Almost surely, 2^97945442400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97945442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177207657984).

97945442400 is an abundant number, since it is smaller than the sum of its proper divisors (256469873568).

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

97945442400 is a wasteful number, since it uses less digits than its factorization.

97945442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101334 (or 101321 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 97945442400 in words is "ninety-seven billion, nine hundred forty-five million, four hundred forty-two thousand, four hundred".