427742518000 has 320 divisors, whose sum is σ = 1225529061120. Its totient is φ = 141281280000.

The previous prime is 427742517989. The next prime is 427742518003. The reversal of 427742518000 is 815247724.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427742518003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244005124 + ... + 244006876.

It is an arithmetic number, because the mean of its divisors is an integer number (3829778316).

Almost surely, 2^427742518000 is an apocalyptic number.

427742518000 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 427742518000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612764530560).

427742518000 is an abundant number, since it is smaller than the sum of its proper divisors (797786543120).

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

427742518000 is a wasteful number, since it uses less digits than its factorization.

427742518000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 427742518000 in words is "four hundred twenty-seven billion, seven hundred forty-two million, five hundred eighteen thousand".