42029875440 has 240 divisors, whose sum is σ = 164607768000. Its totient is φ = 9606772224.

The previous prime is 42029875379. The next prime is 42029875477. The reversal of 42029875440 is 4457892024.

42029875440 is a `hidden beast` number, since 4 + 2 + 0 + 29 + 87 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161866 + ... + 332054.

It is an arithmetic number, because the mean of its divisors is an integer number (685865700).

Almost surely, 2^42029875440 is an apocalyptic number.

42029875440 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 42029875440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82303884000).

42029875440 is an abundant number, since it is smaller than the sum of its proper divisors (122577892560).

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

42029875440 is a wasteful number, since it uses less digits than its factorization.

42029875440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170229 (or 170206 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42029875440 in words is "forty-two billion, twenty-nine million, eight hundred seventy-five thousand, four hundred forty".