4107288337152 has 864 divisors, whose sum is σ = 15189123726336. Its totient is φ = 958076190720.

The previous prime is 4107288337123. The next prime is 4107288337171. The reversal of 4107288337152 is 2517338827014.

4107288337152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4107288337152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4107288337095 and 4107288337104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 312882013 + ... + 312895139.

Almost surely, 2^{4107288337152} is an apocalyptic number.

4107288337152 is a gapful number since it is divisible by the number (42) 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 4107288337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7594561863168).

4107288337152 is an abundant number, since it is smaller than the sum of its proper divisors (11081835389184).

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

4107288337152 is a wasteful number, since it uses less digits than its factorization.

4107288337152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13225 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 4107288337152 in words is "four trillion, one hundred seven billion, two hundred eighty-eight million, three hundred thirty-seven thousand, one hundred fifty-two".