10472448000 has 448 divisors, whose sum is σ = 39910560768. Its totient is φ = 2388787200.

The previous prime is 10472447989. The next prime is 10472448011. The reversal of 10472448000 is 84427401.

It is an interprime number because it is at equal distance from previous prime (10472447989) and next prime (10472448011).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10472448000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21503757 + ... + 21504243.

Almost surely, 2^10472448000 is an apocalyptic number.

10472448000 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 10472448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19955280384).

10472448000 is an abundant number, since it is smaller than the sum of its proper divisors (29438112768).

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

10472448000 is an frugal number, since it uses more digits than its factorization.

10472448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The spelling of 10472448000 in words is "ten billion, four hundred seventy-two million, four hundred forty-eight thousand".