10134473440 has 384 divisors, whose sum is σ = 31384184832. Its totient is φ = 3004784640.

The previous prime is 10134473431. The next prime is 10134473443. The reversal of 10134473440 is 4437443101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134473443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17748355 + ... + 17748925.

It is an arithmetic number, because the mean of its divisors is an integer number (81729648).

Almost surely, 2^10134473440 is an apocalyptic number.

10134473440 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 10134473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15692092416).

10134473440 is an abundant number, since it is smaller than the sum of its proper divisors (21249711392).

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

10134473440 is a wasteful number, since it uses less digits than its factorization.

10134473440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 10134473440 in words is "ten billion, one hundred thirty-four million, four hundred seventy-three thousand, four hundred forty".