10416397824 has 400 divisors, whose sum is σ = 36255545568. Its totient is φ = 2915647488.

The previous prime is 10416397819. The next prime is 10416397829. The reversal of 10416397824 is 42879361401.

10416397824 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 639 + 7 + 8 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10416397819) and next prime (10416397829).

It is a self number, because there is not a number n which added to its sum of digits gives 10416397824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416397829) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15385774 + ... + 15386450.

Almost surely, 2^10416397824 is an apocalyptic number.

10416397824 is a gapful number since it is divisible by the number (14) 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 10416397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127772784).

10416397824 is an abundant number, since it is smaller than the sum of its proper divisors (25839147744).

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

10416397824 is an frugal number, since it uses more digits than its factorization.

10416397824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10416397824 in words is "ten billion, four hundred sixteen million, three hundred ninety-seven thousand, eight hundred twenty-four".