42110204402000 has 320 divisors, whose sum is σ = 119244562145280. Its totient is φ = 14084695872000.

The previous prime is 42110204401973. The next prime is 42110204402023. The reversal of 42110204402000 is 20440201124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108011417 + ... + 108400583.

It is an arithmetic number, because the mean of its divisors is an integer number (372639256704).

Almost surely, 2^{42110204402000} is an apocalyptic number.

42110204402000 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 42110204402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59622281072640).

42110204402000 is an abundant number, since it is smaller than the sum of its proper divisors (77134357743280).

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

42110204402000 is a wasteful number, since it uses less digits than its factorization.

42110204402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389387 (or 389371 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42110204402000 its reverse (20440201124), we get a palindrome (42130644603124).

The spelling of 42110204402000 in words is "forty-two trillion, one hundred ten billion, two hundred four million, four hundred two thousand".