42113177384320 has 1536 divisors, whose sum is σ = 127254605005440. Its totient is φ = 13265731584000.

The previous prime is 42113177384293. The next prime is 42113177384321. The reversal of 42113177384320 is 2348377131124.

42113177384320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42113177384321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 307395455292 + ... + 307395455428.

Almost surely, 2^{42113177384320} is an apocalyptic number.

42113177384320 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 42113177384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63627302502720).

42113177384320 is an abundant number, since it is smaller than the sum of its proper divisors (85141427621120).

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

42113177384320 is a wasteful number, since it uses less digits than its factorization.

42113177384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 42113177384320 in words is "forty-two trillion, one hundred thirteen billion, one hundred seventy-seven million, three hundred eighty-four thousand, three hundred twenty".