42012411948 has 288 divisors, whose sum is σ = 119870150400. Its totient is φ = 12324275712.

The previous prime is 42012411937. The next prime is 42012411949. The reversal of 42012411948 is 84911421024.

42012411948 is a `hidden beast` number, since 420 + 1 + 2 + 41 + 194 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42012411949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234706123 + ... + 234706301.

It is an arithmetic number, because the mean of its divisors is an integer number (416215800).

Almost surely, 2^42012411948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42012411948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59935075200).

42012411948 is an abundant number, since it is smaller than the sum of its proper divisors (77857738452).

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

42012411948 is a wasteful number, since it uses less digits than its factorization.

42012411948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 42012411948 in words is "forty-two billion, twelve million, four hundred eleven thousand, nine hundred forty-eight".