10405807776 has 768 divisors, whose sum is σ = 39682944000. Its totient is φ = 2633637888.

The previous prime is 10405807771. The next prime is 10405807781. The reversal of 10405807776 is 67770850401.

It is an interprime number because it is at equal distance from previous prime (10405807771) and next prime (10405807781).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405807771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142545276 + ... + 142545348.

It is an arithmetic number, because the mean of its divisors is an integer number (51670500).

Almost surely, 2^10405807776 is an apocalyptic number.

10405807776 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 10405807776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19841472000).

10405807776 is an abundant number, since it is smaller than the sum of its proper divisors (29277136224).

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

10405807776 is a wasteful number, since it uses less digits than its factorization.

10405807776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 10405807776 in words is "ten billion, four hundred five million, eight hundred seven thousand, seven hundred seventy-six".