4121270135892 has 576 divisors, whose sum is σ = 13708442861568. Its totient is φ = 1014902784000.

The previous prime is 4121270135887. The next prime is 4121270135971. The reversal of 4121270135892 is 2985310721214.

4121270135892 is a `hidden beast` number, since 4 + 1 + 21 + 270 + 1 + 358 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 338886292 + ... + 338898452.

It is an arithmetic number, because the mean of its divisors is an integer number (23799379968).

Almost surely, 2^{4121270135892} is an apocalyptic number.

4121270135892 is a gapful number since it is divisible by the number (42) 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 4121270135892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854221430784).

4121270135892 is an abundant number, since it is smaller than the sum of its proper divisors (9587172725676).

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

4121270135892 is a wasteful number, since it uses less digits than its factorization.

4121270135892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12340 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 4121270135892 in words is "four trillion, one hundred twenty-one billion, two hundred seventy million, one hundred thirty-five thousand, eight hundred ninety-two".