10406395296 has 144 divisors (see below), whose sum is σ = 33479435808. Its totient is φ = 3153427200.

The previous prime is 10406395261. The next prime is 10406395327. The reversal of 10406395296 is 69259360401.

10406395296 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 639 + 5 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10406395296² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24706 + ... + 146366.

It is an arithmetic number, because the mean of its divisors is an integer number (232496082).

Almost surely, 2^10406395296 is an apocalyptic number.

10406395296 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 10406395296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16739717904).

10406395296 is an abundant number, since it is smaller than the sum of its proper divisors (23073040512).

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

10406395296 is a wasteful number, since it uses less digits than its factorization.

10406395296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121697 (or 121677 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 10406395296 in words is "ten billion, four hundred six million, three hundred ninety-five thousand, two hundred ninety-six".