42133314420 has 144 divisors (see below), whose sum is σ = 136185770448. Its totient is φ = 10507161600.

The previous prime is 42133314409. The next prime is 42133314427. The reversal of 42133314420 is 2441333124.

42133314420 is a `hidden beast` number, since 4 + 213 + 3 + 3 + 1 + 442 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3104941284 + 39028373136 = 55722^2 + 197556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133314427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436570 + ... + 524270.

It is an arithmetic number, because the mean of its divisors is an integer number (945734517).

Almost surely, 2^42133314420 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 42133314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68092885224).

42133314420 is an abundant number, since it is smaller than the sum of its proper divisors (94052456028).

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

42133314420 is a wasteful number, since it uses less digits than its factorization.

42133314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87890 (or 87885 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42133314420 its reverse (2441333124), we get a palindrome (44574647544).

The spelling of 42133314420 in words is "forty-two billion, one hundred thirty-three million, three hundred fourteen thousand, four hundred twenty".