42107784732000 has 1152 divisors, whose sum is σ = 166897356837120. Its totient is φ = 9986523955200.

The previous prime is 42107784731977. The next prime is 42107784732007. The reversal of 42107784732000 is 23748770124.

42107784732000 is a `hidden beast` number, since 4 + 2 + 107 + 78 + 473 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42107784732007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1783536196 + ... + 1783559804.

It is an arithmetic number, because the mean of its divisors is an integer number (144876177810).

Almost surely, 2^{42107784732000} is an apocalyptic number.

42107784732000 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 42107784732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83448678418560).

42107784732000 is an abundant number, since it is smaller than the sum of its proper divisors (124789572105120).

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

42107784732000 is a wasteful number, since it uses less digits than its factorization.

42107784732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23793 (or 23772 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 42107784732000 in words is "forty-two trillion, one hundred seven billion, seven hundred eighty-four million, seven hundred thirty-two thousand".