42307705440 has 1152 divisors, whose sum is σ = 198132480000. Its totient is φ = 8101416960.

The previous prime is 42307705417. The next prime is 42307705477. The reversal of 42307705440 is 4450770324.

42307705440 is a `hidden beast` number, since 42 + 3 + 0 + 7 + 70 + 544 + 0 = 666.

42307705440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42307705395 and 42307705404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70630261 + ... + 70630859.

It is an arithmetic number, because the mean of its divisors is an integer number (171990000).

Almost surely, 2^42307705440 is an apocalyptic number.

42307705440 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 42307705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240000).

42307705440 is an abundant number, since it is smaller than the sum of its proper divisors (155824774560).

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

42307705440 is a wasteful number, since it uses less digits than its factorization.

42307705440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

It can be divided in two parts, 42307 and 705440, that added together give a palindrome (747747).

The spelling of 42307705440 in words is "forty-two billion, three hundred seven million, seven hundred five thousand, four hundred forty".