10415712162240 has 4480 divisors, whose sum is σ = 52309602385920. Its totient is φ = 1899085824000.

The previous prime is 10415712162209. The next prime is 10415712162263. The reversal of 10415712162240 is 4226121751401.

10415712162240 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 5 + 7 + 1 + 21 + 622 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10415712162195 and 10415712162204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 68978226165 + ... + 68978226315.

Almost surely, 2^{10415712162240} is an apocalyptic number.

10415712162240 is a gapful number since it is divisible by the number (10) 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 10415712162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26154801192960).

10415712162240 is an abundant number, since it is smaller than the sum of its proper divisors (41893890223680).

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

10415712162240 is a wasteful number, since it uses less digits than its factorization.

10415712162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10415712162240 in words is "ten trillion, four hundred fifteen billion, seven hundred twelve million, one hundred sixty-two thousand, two hundred forty".