42846337862400 has 216 divisors, whose sum is σ = 141663246850384. Its totient is φ = 11404567756800.

The previous prime is 42846337862357. The next prime is 42846337862417. The reversal of 42846337862400 is 426873364824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8324742 + ... + 12449658.

Almost surely, 2^{42846337862400} is an apocalyptic number.

42846337862400 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 42846337862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70831623425192).

42846337862400 is an abundant number, since it is smaller than the sum of its proper divisors (98816908987984).

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

42846337862400 is a wasteful number, since it uses less digits than its factorization.

42846337862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125487 (or 4125468 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 57.

The spelling of 42846337862400 in words is "forty-two trillion, eight hundred forty-six billion, three hundred thirty-seven million, eight hundred sixty-two thousand, four hundred".