10003465440 has 384 divisors, whose sum is σ = 37005050880. Its totient is φ = 2518788096.

The previous prime is 10003465421. The next prime is 10003465453. The reversal of 10003465440 is 4456430001.

10003465440 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 4 + 654 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8246274 + ... + 8247486.

It is an arithmetic number, because the mean of its divisors is an integer number (96367320).

Almost surely, 2^10003465440 is an apocalyptic number.

10003465440 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 10003465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18502525440).

10003465440 is an abundant number, since it is smaller than the sum of its proper divisors (27001585440).

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

10003465440 is a wasteful number, since it uses less digits than its factorization.

10003465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10003465440 its reverse (4456430001), we get a palindrome (14459895441).

The spelling of 10003465440 in words is "ten billion, three million, four hundred sixty-five thousand, four hundred forty".