42902375040 has 384 divisors, whose sum is σ = 179273502720. Its totient is φ = 9229271040.

The previous prime is 42902374997. The next prime is 42902375053. The reversal of 42902375040 is 4057320924.

42902375040 is a `hidden beast` number, since 42 + 90 + 23 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×42902375040² (a number of 22 digits) contains 22 as substring.

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 = 42902374986 and 42902375004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654145 + ... + 716735.

It is an arithmetic number, because the mean of its divisors is an integer number (466858080).

Almost surely, 2^42902375040 is an apocalyptic number.

42902375040 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 42902375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89636751360).

42902375040 is an abundant number, since it is smaller than the sum of its proper divisors (136371127680).

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

42902375040 is a wasteful number, since it uses less digits than its factorization.

42902375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62640 (or 62625 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 42902375040 its reverse (4057320924), we get a palindrome (46959695964).

The spelling of 42902375040 in words is "forty-two billion, nine hundred two million, three hundred seventy-five thousand, forty".