42509784096000 has 1728 divisors, whose sum is σ = 175756561344000. Its totient is φ = 10102114713600.

The previous prime is 42509784095927. The next prime is 42509784096061. The reversal of 42509784096000 is 69048790524.

42509784096000 is a `hidden beast` number, since 4 + 2 + 509 + 7 + 8 + 40 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4234458981 + ... + 4234469019.

It is an arithmetic number, because the mean of its divisors is an integer number (101710973000).

Almost surely, 2^{42509784096000} is an apocalyptic number.

42509784096000 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 42509784096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87878280672000).

42509784096000 is an abundant number, since it is smaller than the sum of its proper divisors (133246777248000).

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

42509784096000 is a wasteful number, since it uses less digits than its factorization.

42509784096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 42509784096000 in words is "forty-two trillion, five hundred nine billion, seven hundred eighty-four million, ninety-six thousand".