42634368000000 has 2352 divisors, whose sum is σ = 186886680319872. Its totient is φ = 9142272000000.

The previous prime is 42634367999963. The next prime is 42634368000041. The reversal of 42634368000000 is 86343624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 137087999845 + ... + 137088000155.

Almost surely, 2^{42634368000000} is an apocalyptic number.

42634368000000 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 42634368000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93443340159936).

42634368000000 is an abundant number, since it is smaller than the sum of its proper divisors (144252312319872).

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

42634368000000 is an frugal number, since it uses more digits than its factorization.

42634368000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 42634368000000 in words is "forty-two trillion, six hundred thirty-four billion, three hundred sixty-eight million", and thus it is an aban number.