42398165975040 has 960 divisors, whose sum is σ = 154378181664000. Its totient is φ = 11174937624576.

The previous prime is 42398165975023. The next prime is 42398165975051. The reversal of 42398165975040 is 4057956189324.

42398165975040 is a `hidden beast` number, since 4 + 2 + 39 + 8 + 1 + 6 + 5 + 97 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 15945153231 + ... + 15945155889.

It is an arithmetic number, because the mean of its divisors is an integer number (160810605900).

It is a 1-persistent number, because it is pandigital, but 2⋅42398165975040 = 84796331950080 is not.

Almost surely, 2^{42398165975040} is an apocalyptic number.

42398165975040 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 42398165975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77189090832000).

42398165975040 is an abundant number, since it is smaller than the sum of its proper divisors (111980015688960).

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

42398165975040 is an frugal number, since it uses more digits than its factorization.

42398165975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 42398165975040 in words is "forty-two trillion, three hundred ninety-eight billion, one hundred sixty-five million, nine hundred seventy-five thousand, forty".