4114744972800 has 2880 divisors, whose sum is σ = 18291822962688. Its totient is φ = 811819008000.

The previous prime is 4114744972783. The next prime is 4114744972829. The reversal of 4114744972800 is 82794474114.

It is a happy number.

It is a super-2 number, since 2×4114744972800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77636697574 + ... + 77636697626.

Almost surely, 2^{4114744972800} is an apocalyptic number.

4114744972800 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 4114744972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9145911481344).

4114744972800 is an abundant number, since it is smaller than the sum of its proper divisors (14177077989888).

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

4114744972800 is a wasteful number, since it uses less digits than its factorization.

4114744972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 4114744972800 in words is "four trillion, one hundred fourteen billion, seven hundred forty-four million, nine hundred seventy-two thousand, eight hundred".