42395724000 has 1344 divisors, whose sum is σ = 186996805632. Its totient is φ = 9237888000.

The previous prime is 42395723999. The next prime is 42395724061. The reversal of 42395724000 is 42759324.

42395724000 is a `hidden beast` number, since 42 + 3 + 9 + 572 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 632771967 + ... + 632772033.

It is an arithmetic number, because the mean of its divisors is an integer number (139134528).

Almost surely, 2^42395724000 is an apocalyptic number.

42395724000 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 42395724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93498402816).

42395724000 is an abundant number, since it is smaller than the sum of its proper divisors (144601081632).

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

42395724000 is an equidigital number, since it uses as much as digits as its factorization.

42395724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 115 counting only the distinct ones).

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

The spelling of 42395724000 in words is "forty-two billion, three hundred ninety-five million, seven hundred twenty-four thousand".