42154153738368 has 128 divisors (see below), whose sum is σ = 127988256798720. Its totient is φ = 12042134270976.

The previous prime is 42154153738357. The next prime is 42154153738373. The reversal of 42154153738368 is 86383735145124.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15756121 + ... + 18236327.

It is an arithmetic number, because the mean of its divisors is an integer number (999908256240).

Almost surely, 2^{42154153738368} is an apocalyptic number.

42154153738368 is a gapful number since it is divisible by the number (48) 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 42154153738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63994128399360).

42154153738368 is an abundant number, since it is smaller than the sum of its proper divisors (85834103060352).

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

42154153738368 is a wasteful number, since it uses less digits than its factorization.

42154153738368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486554 (or 2486542 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 42154153738368 in words is "forty-two trillion, one hundred fifty-four billion, one hundred fifty-three million, seven hundred thirty-eight thousand, three hundred sixty-eight".