42153833700 has 360 divisors, whose sum is σ = 149909405184. Its totient is φ = 10161504000.

The previous prime is 42153833629. The next prime is 42153833719. The reversal of 42153833700 is 733835124.

42153833700 is a `hidden beast` number, since 4 + 21 + 538 + 33 + 70 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17016862 + ... + 17019338.

Almost surely, 2^42153833700 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 42153833700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74954702592).

42153833700 is an abundant number, since it is smaller than the sum of its proper divisors (107755571484).

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

42153833700 is a wasteful number, since it uses less digits than its factorization.

42153833700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 42153833700 in words is "forty-two billion, one hundred fifty-three million, eight hundred thirty-three thousand, seven hundred".