42040440311120 has 40 divisors (see below), whose sum is σ = 97766963737800. Its totient is φ = 16812229455360.

The previous prime is 42040440311117. The next prime is 42040440311209. The reversal of 42040440311120 is 2111304404024.

It can be written as a sum of positive squares in 4 ways, for example, as 3662217070864 + 38378223240256 = 1913692^2 + 6195016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 42040440311120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61323695 + ... + 62005454.

It is an arithmetic number, because the mean of its divisors is an integer number (2444174093445).

Almost surely, 2^{42040440311120} is an apocalyptic number.

42040440311120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42040440311120 is an abundant number, since it is smaller than the sum of its proper divisors (55726523426680).

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

42040440311120 is a wasteful number, since it uses less digits than its factorization.

42040440311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123333423 (or 123333417 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 42040440311120 its reverse (2111304404024), we get a palindrome (44151744715144).

The spelling of 42040440311120 in words is "forty-two trillion, forty billion, four hundred forty million, three hundred eleven thousand, one hundred twenty".