4116210504000 has 672 divisors, whose sum is σ = 16320954424320. Its totient is φ = 910490112000.

The previous prime is 4116210503983. The next prime is 4116210504013. The reversal of 4116210504000 is 4050126114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 36399546 + ... + 36512454.

It is an arithmetic number, because the mean of its divisors is an integer number (24287134560).

Almost surely, 2^{4116210504000} is an apocalyptic number.

4116210504000 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 4116210504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160477212160).

4116210504000 is an abundant number, since it is smaller than the sum of its proper divisors (12204743920320).

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

4116210504000 is a wasteful number, since it uses less digits than its factorization.

4116210504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112984 (or 112957 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 4116210504000 in words is "four trillion, one hundred sixteen billion, two hundred ten million, five hundred four thousand".