42205133550420 has 384 divisors, whose sum is σ = 138414427361280. Its totient is φ = 10655866298880.

The previous prime is 42205133550401. The next prime is 42205133550421. The reversal of 42205133550420 is 2405533150224.

42205133550420 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 51 + 33 + 550 + 4 + 20 = 666.

It is a super-3 number, since 3×42205133550420³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42205133550421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 487702555 + ... + 487789085.

It is an arithmetic number, because the mean of its divisors is an integer number (360454237920).

Almost surely, 2^{42205133550420} 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 42205133550420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69207213680640).

42205133550420 is an abundant number, since it is smaller than the sum of its proper divisors (96209293810860).

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

42205133550420 is a wasteful number, since it uses less digits than its factorization.

42205133550420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86972 (or 86964 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 42205133550420 in words is "forty-two trillion, two hundred five billion, one hundred thirty-three million, five hundred fifty thousand, four hundred twenty".