10415379150 has 288 divisors, whose sum is σ = 32695228800. Its totient is φ = 2350252800.

The previous prime is 10415379127. The next prime is 10415379167. The reversal of 10415379150 is 5197351401.

It is a happy number.

10415379150 is a `hidden beast` number, since 104 + 1 + 537 + 9 + 15 + 0 = 666.

10415379150 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 an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 5548012 + ... + 5549888.

It is an arithmetic number, because the mean of its divisors is an integer number (113525100).

Almost surely, 2^10415379150 is an apocalyptic number.

10415379150 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 10415379150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16347614400).

10415379150 is an abundant number, since it is smaller than the sum of its proper divisors (22279849650).

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

10415379150 is a wasteful number, since it uses less digits than its factorization.

10415379150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 10415379150 in words is "ten billion, four hundred fifteen million, three hundred seventy-nine thousand, one hundred fifty".