10492416000 has 1040 divisors, whose sum is σ = 44528635008. Its totient is φ = 2433024000.

The previous prime is 10492415987. The next prime is 10492416013. The reversal of 10492416000 is 61429401.

10492416000 is a `hidden beast` number, since 10 + 4 + 9 + 2 + 41 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10492415987) and next prime (10492416013).

It is a super-2 number, since 2×10492416000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 456191989 + ... + 456192011.

Almost surely, 2^10492416000 is an apocalyptic number.

10492416000 is a gapful number since it is divisible by the number (10) 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 10492416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22264317504).

10492416000 is an abundant number, since it is smaller than the sum of its proper divisors (34036219008).

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

10492416000 is an equidigital number, since it uses as much as digits as its factorization.

10492416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10492416000 in words is "ten billion, four hundred ninety-two million, four hundred sixteen thousand".