427949346048 has 576 divisors, whose sum is σ = 1486420346880. Its totient is φ = 106345267200.

The previous prime is 427949346037. The next prime is 427949346101. The reversal of 427949346048 is 840643949724.

It is a junction number, because it is equal to n+sod(n) for n = 427949345982 and 427949346000.

It is a congruent number.

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, 71191363 + ... + 71197373.

It is an arithmetic number, because the mean of its divisors is an integer number (2580590880).

Almost surely, 2^427949346048 is an apocalyptic number.

427949346048 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 427949346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743210173440).

427949346048 is an abundant number, since it is smaller than the sum of its proper divisors (1058471000832).

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

427949346048 is a wasteful number, since it uses less digits than its factorization.

427949346048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 427949346048 in words is "four hundred twenty-seven billion, nine hundred forty-nine million, three hundred forty-six thousand, forty-eight".