10471462400 has 240 divisors, whose sum is σ = 31215740160. Its totient is φ = 3400704000.

The previous prime is 10471462399. The next prime is 10471462427. The reversal of 10471462400 is 426417401.

It is a happy number.

It is a super-2 number, since 2×10471462400² (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, 1699325 + ... + 1705475.

It is an arithmetic number, because the mean of its divisors is an integer number (130065584).

Almost surely, 2^10471462400 is an apocalyptic number.

10471462400 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 10471462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607870080).

10471462400 is an abundant number, since it is smaller than the sum of its proper divisors (20744277760).

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

10471462400 is an equidigital number, since it uses as much as digits as its factorization.

10471462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

Adding to 10471462400 its reverse (426417401), we get a palindrome (10897879801).

The spelling of 10471462400 in words is "ten billion, four hundred seventy-one million, four hundred sixty-two thousand, four hundred".