42121255407 has 96 divisors (see below), whose sum is σ = 73032221184. Its totient is φ = 20976883200.

The previous prime is 42121255373. The next prime is 42121255417. The reversal of 42121255407 is 70455212124.

It is not a de Polignac number, because 42121255407 - 2⁶ = 42121255343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42121255417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30499857 + ... + 30501237.

It is an arithmetic number, because the mean of its divisors is an integer number (760752304).

Almost surely, 2^42121255407 is an apocalyptic number.

42121255407 is a deficient number, since it is larger than the sum of its proper divisors (30910965777).

42121255407 is a wasteful number, since it uses less digits than its factorization.

42121255407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The spelling of 42121255407 in words is "forty-two billion, one hundred twenty-one million, two hundred fifty-five thousand, four hundred seven".