42051435520 has 176 divisors, whose sum is σ = 104588402688. Its totient is φ = 16206151680.

The previous prime is 42051435497. The next prime is 42051435581. The reversal of 42051435520 is 2553415024.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 48726609 + ... + 48727471.

It is an arithmetic number, because the mean of its divisors is an integer number (594252288).

Almost surely, 2^42051435520 is an apocalyptic number.

42051435520 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 42051435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52294201344).

42051435520 is an abundant number, since it is smaller than the sum of its proper divisors (62536967168).

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

42051435520 is a wasteful number, since it uses less digits than its factorization.

42051435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 42051435520 in words is "forty-two billion, fifty-one million, four hundred thirty-five thousand, five hundred twenty".