42359187436800 has 1728 divisors, whose sum is σ = 161953298658816. Its totient is φ = 9669810585600.

The previous prime is 42359187436757. The next prime is 42359187436877. The reversal of 42359187436800 is 863478195324.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25563781572 + ... + 25563783228.

It is a 1-persistent number, because it is pandigital, but 2⋅42359187436800 = 84718374873600 is not.

Almost surely, 2^{42359187436800} is an apocalyptic number.

42359187436800 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 42359187436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80976649329408).

42359187436800 is an abundant number, since it is smaller than the sum of its proper divisors (119594111222016).

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

42359187436800 is a wasteful number, since it uses less digits than its factorization.

42359187436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 42359187436800 in words is "forty-two trillion, three hundred fifty-nine billion, one hundred eighty-seven million, four hundred thirty-six thousand, eight hundred".