4101421334976 has 840 divisors, whose sum is σ = 15011766101376. Its totient is φ = 1100182487040.

The previous prime is 4101421334939. The next prime is 4101421334977. The reversal of 4101421334976 is 6794331241014.

It is a happy number.

4101421334976 is a `hidden beast` number, since 4 + 1 + 0 + 142 + 13 + 3 + 497 + 6 = 666.

4101421334976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101421334977) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2249818801 + ... + 2249820623.

Almost surely, 2^{4101421334976} 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 4101421334976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505883050688).

4101421334976 is an abundant number, since it is smaller than the sum of its proper divisors (10910344766400).

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

4101421334976 is a wasteful number, since it uses less digits than its factorization.

4101421334976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4101421334976 in words is "four trillion, one hundred one billion, four hundred twenty-one million, three hundred thirty-four thousand, nine hundred seventy-six".