4501842149376 has 1440 divisors, whose sum is σ = 16158381797376. Its totient is φ = 1189085184000.

The previous prime is 4501842149323. The next prime is 4501842149471. The reversal of 4501842149376 is 6739412481054.

4501842149376 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 84 + 2 + 1 + 493 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46410743760 + ... + 46410743856.

It is a 1-persistent number, because it is pandigital, but 2⋅4501842149376 = 9003684298752 is not.

Almost surely, 2^{4501842149376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4501842149376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8079190898688).

4501842149376 is an abundant number, since it is smaller than the sum of its proper divisors (11656539648000).

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

4501842149376 is a wasteful number, since it uses less digits than its factorization.

4501842149376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4501842149376 in words is "four trillion, five hundred one billion, eight hundred forty-two million, one hundred forty-nine thousand, three hundred seventy-six".