10416001350 has 192 divisors, whose sum is σ = 27515667456. Its totient is φ = 2604026880.

The previous prime is 10416001319. The next prime is 10416001357. The reversal of 10416001350 is 5310061401.

10416001350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416001357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19041777 + ... + 19042323.

It is an arithmetic number, because the mean of its divisors is an integer number (143310768).

Almost surely, 2^10416001350 is an apocalyptic number.

10416001350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10416001350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757833728).

10416001350 is an abundant number, since it is smaller than the sum of its proper divisors (17099666106).

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

10416001350 is a wasteful number, since it uses less digits than its factorization.

10416001350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10416001350 its reverse (5310061401), we get a palindrome (15726062751).

The spelling of 10416001350 in words is "ten billion, four hundred sixteen million, one thousand, three hundred fifty".