2121335424405 has 48 divisors (see below), whose sum is σ = 3715453311024. Its totient is φ = 1119544934400.

The previous prime is 2121335424331. The next prime is 2121335424421. The reversal of 2121335424405 is 5044245331212.

It is a happy number.

2121335424405 is a `hidden beast` number, since 2 + 1 + 213 + 35 + 4 + 2 + 4 + 405 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 834458769 + 2120500965636 = 28887^2 + 1456194^2 .

It is not a de Polignac number, because 2121335424405 - 2¹⁷ = 2121335293333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121335424405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31818105 + ... + 31884705.

It is an arithmetic number, because the mean of its divisors is an integer number (77405277313).

Almost surely, 2^{2121335424405} is an apocalyptic number.

It is an amenable number.

2121335424405 is a deficient number, since it is larger than the sum of its proper divisors (1594117886619).

2121335424405 is a wasteful number, since it uses less digits than its factorization.

2121335424405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74006 (or 74003 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2121335424405 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-five million, four hundred twenty-four thousand, four hundred five".