42104395440 has 120 divisors (see below), whose sum is σ = 141485497920. Its totient is φ = 11221097472.

The previous prime is 42104395427. The next prime is 42104395457. The reversal of 42104395440 is 4459340124.

42104395440 is a `hidden beast` number, since 4 + 2 + 104 + 3 + 9 + 544 + 0 = 666.

42104395440 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42104395395 and 42104395404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245481 + ... + 1278839.

It is an arithmetic number, because the mean of its divisors is an integer number (1179045816).

Almost surely, 2^42104395440 is an apocalyptic number.

42104395440 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 42104395440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70742748960).

42104395440 is an abundant number, since it is smaller than the sum of its proper divisors (99381102480).

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

42104395440 is a wasteful number, since it uses less digits than its factorization.

42104395440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35131 (or 35122 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42104395440 in words is "forty-two billion, one hundred four million, three hundred ninety-five thousand, four hundred forty".