42011909901984 has 576 divisors, whose sum is σ = 131223758400000. Its totient is φ = 11638955059200.

The previous prime is 42011909901979. The next prime is 42011909901989. The reversal of 42011909901984 is 48910990911024.

42011909901984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42011909901979) and next prime (42011909901989).

It is a super-2 number, since 2×42011909901984² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (42011909901989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7307687142 + ... + 7307692890.

It is an arithmetic number, because the mean of its divisors is an integer number (227819025000).

Almost surely, 2^{42011909901984} is an apocalyptic number.

42011909901984 is a gapful number since it is divisible by the number (44) 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 42011909901984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65611879200000).

42011909901984 is an abundant number, since it is smaller than the sum of its proper divisors (89211848498016).

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

42011909901984 is a wasteful number, since it uses less digits than its factorization.

42011909901984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 57.

The spelling of 42011909901984 in words is "forty-two trillion, eleven billion, nine hundred nine million, nine hundred one thousand, nine hundred eighty-four".