42107005440 has 320 divisors, whose sum is σ = 150026469120. Its totient is φ = 11194122240.

The previous prime is 42107005433. The next prime is 42107005517. The reversal of 42107005440 is 4450070124.

42107005440 is a `hidden beast` number, since 4 + 210 + 7 + 0 + 0 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29098797 + ... + 29100243.

It is an arithmetic number, because the mean of its divisors is an integer number (468832716).

Almost surely, 2^42107005440 is an apocalyptic number.

42107005440 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 42107005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75013234560).

42107005440 is an abundant number, since it is smaller than the sum of its proper divisors (107919463680).

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

42107005440 is a wasteful number, since it uses less digits than its factorization.

42107005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 42107005440 its reverse (4450070124), we get a palindrome (46557075564).

The spelling of 42107005440 in words is "forty-two billion, one hundred seven million, five thousand, four hundred forty".