4126610331360 has 1152 divisors, whose sum is σ = 16819069962240. Its totient is φ = 944951961600.

The previous prime is 4126610331359. The next prime is 4126610331401. The reversal of 4126610331360 is 631330166214.

4126610331360 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 610 + 3 + 3 + 1 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4249855675 + ... + 4249856645.

It is an arithmetic number, because the mean of its divisors is an integer number (14599887120).

Almost surely, 2^{4126610331360} is an apocalyptic number.

4126610331360 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 4126610331360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8409534981120).

4126610331360 is an abundant number, since it is smaller than the sum of its proper divisors (12692459630880).

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

4126610331360 is a wasteful number, since it uses less digits than its factorization.

4126610331360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 4126610331360 its reverse (631330166214), we get a palindrome (4757940497574).

The spelling of 4126610331360 in words is "four trillion, one hundred twenty-six billion, six hundred ten million, three hundred thirty-one thousand, three hundred sixty".