10415333376 has 504 divisors, whose sum is σ = 37091767320. Its totient is φ = 2879815680.

The previous prime is 10415333359. The next prime is 10415333381. The reversal of 10415333376 is 67333351401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10415333376 is a `hidden beast` number, since 10 + 41 + 533 + 3 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10415333376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 335978481 + ... + 335978511.

Almost surely, 2^10415333376 is an apocalyptic number.

10415333376 is a gapful number since it is divisible by the number (16) 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 10415333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18545883660).

10415333376 is an abundant number, since it is smaller than the sum of its proper divisors (26676433944).

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

10415333376 is an frugal number, since it uses more digits than its factorization.

10415333376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

Adding to 10415333376 its reverse (67333351401), we get a palindrome (77748684777).

The spelling of 10415333376 in words is "ten billion, four hundred fifteen million, three hundred thirty-three thousand, three hundred seventy-six".