42098676048 has 960 divisors, whose sum is σ = 156847104000. Its totient is φ = 10674892800.

The previous prime is 42098676041. The next prime is 42098676073. The reversal of 42098676048 is 84067689024.

42098676048 is a `hidden beast` number, since 4 + 20 + 9 + 8 + 6 + 7 + 604 + 8 = 666.

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 = 42098675985 and 42098676003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42098676041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 473018788 + ... + 473018876.

It is an arithmetic number, because the mean of its divisors is an integer number (163382400).

Almost surely, 2^42098676048 is an apocalyptic number.

42098676048 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 42098676048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78423552000).

42098676048 is an abundant number, since it is smaller than the sum of its proper divisors (114748427952).

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

42098676048 is a wasteful number, since it uses less digits than its factorization.

42098676048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 42098676048 in words is "forty-two billion, ninety-eight million, six hundred seventy-six thousand, forty-eight".