42095907720768 has 224 divisors, whose sum is σ = 122527563448320. Its totient is φ = 12754326182400.

The previous prime is 42095907720761. The next prime is 42095907720781. The reversal of 42095907720768 is 86702770959024.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 42095907720699 and 42095907720708.

It is not an unprimeable number, because it can be changed into a prime (42095907720761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2829208753 + ... + 2829223631.

Almost surely, 2^{42095907720768} is an apocalyptic number.

42095907720768 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 42095907720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61263781724160).

42095907720768 is an abundant number, since it is smaller than the sum of its proper divisors (80431655727552).

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

42095907720768 is a wasteful number, since it uses less digits than its factorization.

42095907720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25998 (or 25966 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 42095907720768 in words is "forty-two trillion, ninety-five billion, nine hundred seven million, seven hundred twenty thousand, seven hundred sixty-eight".