42011404011200 has 84 divisors (see below), whose sum is σ = 111326181126720. Its totient is φ = 15511903011840.

The previous prime is 42011404011179. The next prime is 42011404011223. The reversal of 42011404011200 is 211040411024.

It is a super-3 number, since 3×42011404011200³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1009868720 + ... + 1009910319.

It is an arithmetic number, because the mean of its divisors is an integer number (1325311680080).

Almost surely, 2^{42011404011200} is an apocalyptic number.

42011404011200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42011404011200 is an abundant number, since it is smaller than the sum of its proper divisors (69314777115520).

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

42011404011200 is a wasteful number, since it uses less digits than its factorization.

42011404011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019779074 (or 2019779059 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 42011404011200 its reverse (211040411024), we get a palindrome (42222444422224).

The spelling of 42011404011200 in words is "forty-two trillion, eleven billion, four hundred four million, eleven thousand, two hundred".