42141101002000 has 960 divisors, whose sum is σ = 138095036352000. Its totient is φ = 12102925824000.

The previous prime is 42141101001887. The next prime is 42141101002067. The reversal of 42141101002000 is 20010114124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 15613596651 + ... + 15613599349.

It is an arithmetic number, because the mean of its divisors is an integer number (143848996200).

Almost surely, 2^{42141101002000} is an apocalyptic number.

42141101002000 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 42141101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69047518176000).

42141101002000 is an abundant number, since it is smaller than the sum of its proper divisors (95953935350000).

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

42141101002000 is a wasteful number, since it uses less digits than its factorization.

42141101002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 42141101002000 its reverse (20010114124), we get a palindrome (42161111116124).

The spelling of 42141101002000 in words is "forty-two trillion, one hundred forty-one billion, one hundred one million, two thousand".