4042401102240 has 96 divisors (see below), whose sum is σ = 12789168900480. Its totient is φ = 1073266289664.

The previous prime is 4042401102209. The next prime is 4042401102263. The reversal of 4042401102240 is 422011042404.

4042401102240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4042401102240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18278004 + ... + 18497843.

It is an arithmetic number, because the mean of its divisors is an integer number (133220509380).

Almost surely, 2^{4042401102240} is an apocalyptic number.

4042401102240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042401102240 is an abundant number, since it is smaller than the sum of its proper divisors (8746767798240).

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

4042401102240 is a wasteful number, since it uses less digits than its factorization.

4042401102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36776094 (or 36776086 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4042401102240 its reverse (422011042404), we get a palindrome (4464412144644).

The spelling of 4042401102240 in words is "four trillion, forty-two billion, four hundred one million, one hundred two thousand, two hundred forty".