97018830397440 has 4032 divisors, whose sum is σ = 437979588514560. Its totient is φ = 20527326167040.

The previous prime is 97018830397369. The next prime is 97018830397501. The reversal of 97018830397440 is 4479303881079.

97018830397440 is a `hidden beast` number, since 9 + 7 + 0 + 188 + 3 + 0 + 3 + 9 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3129639690225 + ... + 3129639690255.

Almost surely, 2^{97018830397440} is an apocalyptic number.

97018830397440 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 97018830397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218989794257280).

97018830397440 is an abundant number, since it is smaller than the sum of its proper divisors (340960758117120).

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

97018830397440 is an frugal number, since it uses more digits than its factorization.

97018830397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 97018830397440 in words is "ninety-seven trillion, eighteen billion, eight hundred thirty million, three hundred ninety-seven thousand, four hundred forty".