42689203200 has 1320 divisors, whose sum is σ = 192387409632. Its totient is φ = 9130475520.

The previous prime is 42689203189. The next prime is 42689203223. The reversal of 42689203200 is 230298624.

42689203200 is a `hidden beast` number, since 426 + 8 + 9 + 20 + 3 + 200 = 666.

It is a super-3 number, since 3×42689203200³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 246758314 + ... + 246758486.

Almost surely, 2^42689203200 is an apocalyptic number.

42689203200 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 42689203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96193704816).

42689203200 is an abundant number, since it is smaller than the sum of its proper divisors (149698206432).

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

42689203200 is a wasteful number, since it uses less digits than its factorization.

42689203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 42689203200 in words is "forty-two billion, six hundred eighty-nine million, two hundred three thousand, two hundred".