10909412313408 has 896 divisors, whose sum is σ = 39020642304000. Its totient is φ = 2921718159360.

The previous prime is 10909412313383. The next prime is 10909412313419. The reversal of 10909412313408 is 80431321490901.

10909412313408 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 9 + 4 + 1 + 231 + 3 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3055000263 + ... + 3055003833.

It is an arithmetic number, because the mean of its divisors is an integer number (43549824000).

Almost surely, 2^{10909412313408} is an apocalyptic number.

10909412313408 is a gapful number since it is divisible by the number (18) 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 10909412313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19510321152000).

10909412313408 is an abundant number, since it is smaller than the sum of its proper divisors (28111229990592).

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

10909412313408 is a wasteful number, since it uses less digits than its factorization.

10909412313408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10909412313408 in words is "ten trillion, nine hundred nine billion, four hundred twelve million, three hundred thirteen thousand, four hundred eight".