42354012446000 has 320 divisors, whose sum is σ = 110352952958976. Its totient is φ = 15676442496000.

The previous prime is 42354012445949. The next prime is 42354012446041. The reversal of 42354012446000 is 64421045324.

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, 6620914802 + ... + 6620921198.

Almost surely, 2^{42354012446000} is an apocalyptic number.

42354012446000 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 42354012446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55176476479488).

42354012446000 is an abundant number, since it is smaller than the sum of its proper divisors (67998940512976).

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

42354012446000 is a wasteful number, since it uses less digits than its factorization.

42354012446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11117 (or 11101 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 42354012446000 in words is "forty-two trillion, three hundred fifty-four billion, twelve million, four hundred forty-six thousand".