10409934255336 has 1280 divisors, whose sum is σ = 39320043840000. Its totient is φ = 2546256384000.

The previous prime is 10409934255319. The next prime is 10409934255337. The reversal of 10409934255336 is 63355243990401.

10409934255336 is a `hidden beast` number, since 1 + 0 + 40 + 9 + 9 + 3 + 42 + 553 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10409934255337) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2906989066 + ... + 2906992646.

It is an arithmetic number, because the mean of its divisors is an integer number (30718784250).

Almost surely, 2^{10409934255336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10409934255336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19660021920000).

10409934255336 is an abundant number, since it is smaller than the sum of its proper divisors (28910109584664).

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

10409934255336 is a wasteful number, since it uses less digits than its factorization.

10409934255336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 10409934255336 in words is "ten trillion, four hundred nine billion, nine hundred thirty-four million, two hundred fifty-five thousand, three hundred thirty-six".