84121420374096 has 1440 divisors, whose sum is σ = 286794960519168. Its totient is φ = 21142962247680.

The previous prime is 84121420374053. The next prime is 84121420374097. The reversal of 84121420374096 is 69047302412148.

It is a super-2 number, since 2×84121420374096² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84121420374097) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65566188271 + ... + 65566189553.

Almost surely, 2^{84121420374096} 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 84121420374096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143397480259584).

84121420374096 is an abundant number, since it is smaller than the sum of its proper divisors (202673540145072).

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

84121420374096 is a wasteful number, since it uses less digits than its factorization.

84121420374096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 84121420374096 in words is "eighty-four trillion, one hundred twenty-one billion, four hundred twenty million, three hundred seventy-four thousand, ninety-six".