42633170142450 has 288 divisors, whose sum is σ = 114038878544640. Its totient is φ = 10534230220800.

The previous prime is 42633170142439. The next prime is 42633170142457. The reversal of 42633170142450 is 5424107133624.

It is not an unprimeable number, because it can be changed into a prime (42633170142457) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 332174290 + ... + 332302610.

It is an arithmetic number, because the mean of its divisors is an integer number (395968328280).

Almost surely, 2^{42633170142450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42633170142450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57019439272320).

42633170142450 is an abundant number, since it is smaller than the sum of its proper divisors (71405708402190).

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

42633170142450 is a wasteful number, since it uses less digits than its factorization.

42633170142450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128514 (or 128486 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 42633170142450 in words is "forty-two trillion, six hundred thirty-three billion, one hundred seventy million, one hundred forty-two thousand, four hundred fifty".