42737874048 has 512 divisors, whose sum is σ = 137479680000. Its totient is φ = 13028843520.

The previous prime is 42737874037. The next prime is 42737874061. The reversal of 42737874048 is 84047873724.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42737873985 and 42737874003.

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, 414930765 + ... + 414930867.

It is an arithmetic number, because the mean of its divisors is an integer number (268515000).

Almost surely, 2^42737874048 is an apocalyptic number.

42737874048 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 42737874048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840000).

42737874048 is an abundant number, since it is smaller than the sum of its proper divisors (94741805952).

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

42737874048 is a wasteful number, since it uses less digits than its factorization.

42737874048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 42737874048 in words is "forty-two billion, seven hundred thirty-seven million, eight hundred seventy-four thousand, forty-eight".