42036442703808 has 672 divisors, whose sum is σ = 141976503244800. Its totient is φ = 10902076416000.

The previous prime is 42036442703797. The next prime is 42036442703831. The reversal of 42036442703808 is 80830724463024.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559634958 + ... + 559710066.

It is an arithmetic number, because the mean of its divisors is an integer number (211274558400).

Almost surely, 2^{42036442703808} is an apocalyptic number.

42036442703808 is a gapful number since it is divisible by the number (48) 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 42036442703808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70988251622400).

42036442703808 is an abundant number, since it is smaller than the sum of its proper divisors (99940060540992).

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

42036442703808 is a wasteful number, since it uses less digits than its factorization.

42036442703808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75289 (or 75272 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 42036442703808 in words is "forty-two trillion, thirty-six billion, four hundred forty-two million, seven hundred three thousand, eight hundred eight".