42153452532000 has 144 divisors (see below), whose sum is σ = 149602603163832. Its totient is φ = 11240920665600.

The previous prime is 42153452531837. The next prime is 42153452532019. The reversal of 42153452532000 is 23525435124.

42153452532000 is a `hidden beast` number, since 4 + 2 + 1 + 534 + 52 + 53 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25518702972816 + 16634749559184 = 5051604^2 + 4078572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×42153452532000³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585428619 + ... + 585500618.

Almost surely, 2^{42153452532000} is an apocalyptic number.

42153452532000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42153452532000 is an abundant number, since it is smaller than the sum of its proper divisors (107449150631832).

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

42153452532000 is a wasteful number, since it uses less digits than its factorization.

42153452532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170929268 (or 1170929247 counting only the distinct ones).

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

Adding to 42153452532000 its reverse (23525435124), we get a palindrome (42176977967124).

The spelling of 42153452532000 in words is "forty-two trillion, one hundred fifty-three billion, four hundred fifty-two million, five hundred thirty-two thousand".