42689356800 has 528 divisors, whose sum is σ = 147459853632. Its totient is φ = 10882252800.

The previous prime is 42689356783. The next prime is 42689356859. The reversal of 42689356800 is 865398624.

It is a super-3 number, since 3×42689356800³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235852710 + ... + 235852890.

Almost surely, 2^42689356800 is an apocalyptic number.

42689356800 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 42689356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73729926816).

42689356800 is an abundant number, since it is smaller than the sum of its proper divisors (104770496832).

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

42689356800 is a wasteful number, since it uses less digits than its factorization.

42689356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 42689356800 in words is "forty-two billion, six hundred eighty-nine million, three hundred fifty-six thousand, eight hundred".