42045311040 has 224 divisors, whose sum is σ = 134819721216. Its totient is φ = 11101347840.

The previous prime is 42045311039. The next prime is 42045311051. The reversal of 42045311040 is 4011354024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42045311040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63608310 + ... + 63608970.

Almost surely, 2^42045311040 is an apocalyptic number.

42045311040 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 42045311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67409860608).

42045311040 is an abundant number, since it is smaller than the sum of its proper divisors (92774410176).

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

42045311040 is a wasteful number, since it uses less digits than its factorization.

42045311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 42045311040 its reverse (4011354024), we get a palindrome (46056665064).

The spelling of 42045311040 in words is "forty-two billion, forty-five million, three hundred eleven thousand, forty".