42006095352312 has 384 divisors, whose sum is σ = 134855428055040. Its totient is φ = 10801172551680.

The previous prime is 42006095352301. The next prime is 42006095352373. The reversal of 42006095352312 is 21325359060024.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982186753 + ... + 982229519.

It is an arithmetic number, because the mean of its divisors is an integer number (351186010560).

Almost surely, 2^{42006095352312} is an apocalyptic number.

42006095352312 is a gapful number since it is divisible by the number (42) 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 42006095352312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67427714027520).

42006095352312 is an abundant number, since it is smaller than the sum of its proper divisors (92849332702728).

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

42006095352312 is a wasteful number, since it uses less digits than its factorization.

42006095352312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44411 (or 44400 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 42006095352312 in words is "forty-two trillion, six billion, ninety-five million, three hundred fifty-two thousand, three hundred twelve".