41742734000 has 320 divisors, whose sum is σ = 119081664000. Its totient is φ = 13986432000.

The previous prime is 41742733979. The next prime is 41742734039. The reversal of 41742734000 is 43724714.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15464651 + ... + 15467349.

It is an arithmetic number, because the mean of its divisors is an integer number (372130200).

Almost surely, 2^41742734000 is an apocalyptic number.

41742734000 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 41742734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59540832000).

41742734000 is an abundant number, since it is smaller than the sum of its proper divisors (77338930000).

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

41742734000 is a wasteful number, since it uses less digits than its factorization.

41742734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The spelling of 41742734000 in words is "forty-one billion, seven hundred forty-two million, seven hundred thirty-four thousand".