42037418280 has 576 divisors, whose sum is σ = 154492289280. Its totient is φ = 9132963840.

The previous prime is 42037418249. The next prime is 42037418299. The reversal of 42037418280 is 8281473024.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90793329 + ... + 90793791.

It is an arithmetic number, because the mean of its divisors is an integer number (268215780).

Almost surely, 2^42037418280 is an apocalyptic number.

42037418280 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 42037418280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77246144640).

42037418280 is an abundant number, since it is smaller than the sum of its proper divisors (112454871000).

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

42037418280 is a wasteful number, since it uses less digits than its factorization.

42037418280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 42037418280 in words is "forty-two billion, thirty-seven million, four hundred eighteen thousand, two hundred eighty".