42121035756 has 36 divisors (see below), whose sum is σ = 106479009000. Its totient is φ = 14039502528.

The previous prime is 42121035751. The next prime is 42121035769. The reversal of 42121035756 is 65753012124.

42121035756 is a `hidden beast` number, since 42 + 1 + 210 + 357 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42121035756.

It is not an unprimeable number, because it can be changed into a prime (42121035751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 956920 + ... + 999968.

It is an arithmetic number, because the mean of its divisors is an integer number (2957750250).

Almost surely, 2^42121035756 is an apocalyptic number.

It is an amenable number.

42121035756 is an abundant number, since it is smaller than the sum of its proper divisors (64357973244).

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

42121035756 is a wasteful number, since it uses less digits than its factorization.

42121035756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70238 (or 70233 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 42121035756 in words is "forty-two billion, one hundred twenty-one million, thirty-five thousand, seven hundred fifty-six".