42100596720000 has 2560 divisors, whose sum is σ = 201176502912000. Its totient is φ = 8414502912000.

The previous prime is 42100596719969. The next prime is 42100596720001. The reversal of 42100596720000 is 2769500124.

42100596720000 is a `hidden beast` number, since 42 + 1 + 0 + 0 + 596 + 7 + 20 + 0 + 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 not an unprimeable number, because it can be changed into a prime (42100596720001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3734634364 + ... + 3734645636.

It is an arithmetic number, because the mean of its divisors is an integer number (78584571450).

Almost surely, 2^{42100596720000} is an apocalyptic number.

42100596720000 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 42100596720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100588251456000).

42100596720000 is an abundant number, since it is smaller than the sum of its proper divisors (159075906192000).

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

42100596720000 is a wasteful number, since it uses less digits than its factorization.

42100596720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11355 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 42100596720000 in words is "forty-two trillion, one hundred billion, five hundred ninety-six million, seven hundred twenty thousand".