10475149440 has 768 divisors, whose sum is σ = 41793822720. Its totient is φ = 2219728896.

The previous prime is 10475149397. The next prime is 10475149453. The reversal of 10475149440 is 4494157401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101700429 + ... + 101700531.

It is an arithmetic number, because the mean of its divisors is an integer number (54419040).

Almost surely, 2^10475149440 is an apocalyptic number.

10475149440 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 10475149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20896911360).

10475149440 is an abundant number, since it is smaller than the sum of its proper divisors (31318673280).

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

10475149440 is a wasteful number, since it uses less digits than its factorization.

10475149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 10475149440 in words is "ten billion, four hundred seventy-five million, one hundred forty-nine thousand, four hundred forty".