10348507440 has 120 divisors (see below), whose sum is σ = 35019352368. Its totient is φ = 2738511360.

The previous prime is 10348507439. The next prime is 10348507441. The reversal of 10348507440 is 4470584301.

10348507440 is a `hidden beast` number, since 103 + 4 + 8 + 507 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10348507439) and next prime (10348507441).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10348507395 and 10348507404.

It is not an unprimeable number, because it can be changed into a prime (10348507441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39462 + ... + 149178.

Almost surely, 2^10348507440 is an apocalyptic number.

10348507440 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 10348507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17509676184).

10348507440 is an abundant number, since it is smaller than the sum of its proper divisors (24670844928).

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

10348507440 is a wasteful number, since it uses less digits than its factorization.

10348507440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109867 (or 109858 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10348507440 in words is "ten billion, three hundred forty-eight million, five hundred seven thousand, four hundred forty".