10470041600 has 288 divisors, whose sum is σ = 28736285760. Its totient is φ = 3763077120.

The previous prime is 10470041597. The next prime is 10470041609. The reversal of 10470041600 is 614007401.

It is a super-2 number, since 2×10470041600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (10470041609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20018939 + ... + 20019461.

It is an arithmetic number, because the mean of its divisors is an integer number (99778770).

Almost surely, 2^10470041600 is an apocalyptic number.

10470041600 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 10470041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368142880).

10470041600 is an abundant number, since it is smaller than the sum of its proper divisors (18266244160).

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

10470041600 is a wasteful number, since it uses less digits than its factorization.

10470041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 10470041600 in words is "ten billion, four hundred seventy million, forty-one thousand, six hundred".