42027052953600 has 4368 divisors, whose sum is σ = 190980053827584. Its totient is φ = 9029615616000.

The previous prime is 42027052953563. The next prime is 42027052953601. The reversal of 42027052953600 is 635925072024.

42027052953600 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 70 + 529 + 53 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42027052953601) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 330921676737 + ... + 330921676863.

Almost surely, 2^{42027052953600} is an apocalyptic number.

42027052953600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42027052953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95490026913792).

42027052953600 is an abundant number, since it is smaller than the sum of its proper divisors (148953000873984).

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

42027052953600 is a wasteful number, since it uses less digits than its factorization.

42027052953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 42027052953600 in words is "forty-two trillion, twenty-seven billion, fifty-two million, nine hundred fifty-three thousand, six hundred".