97419865919040 has 1008 divisors, whose sum is σ = 411486245352000. Its totient is φ = 21034782203904.

The previous prime is 97419865919003. The next prime is 97419865919053. The reversal of 97419865919040 is 4091956891479.

97419865919040 is a `hidden beast` number, since 9 + 7 + 419 + 86 + 5 + 9 + 1 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 97419865919040.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 935714667 + ... + 935818773.

It is an arithmetic number, because the mean of its divisors is an integer number (408220481500).

Almost surely, 2^{97419865919040} is an apocalyptic number.

97419865919040 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 97419865919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205743122676000).

97419865919040 is an abundant number, since it is smaller than the sum of its proper divisors (314066379432960).

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

97419865919040 is a wasteful number, since it uses less digits than its factorization.

97419865919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104512 (or 104492 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 97419865919040 in words is "ninety-seven trillion, four hundred nineteen billion, eight hundred sixty-five million, nine hundred nineteen thousand, forty".