10349404560 has 320 divisors, whose sum is σ = 40146001920. Its totient is φ = 2427840000.

The previous prime is 10349404523. The next prime is 10349404577. The reversal of 10349404560 is 6540494301.

10349404560 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 94 + 0 + 4 + 560 = 666.

It is a super-2 number, since 2×10349404560² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 729535 + ... + 743585.

It is an arithmetic number, because the mean of its divisors is an integer number (125456256).

Almost surely, 2^10349404560 is an apocalyptic number.

10349404560 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 10349404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073000960).

10349404560 is an abundant number, since it is smaller than the sum of its proper divisors (29796597360).

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

10349404560 is a wasteful number, since it uses less digits than its factorization.

10349404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14115 (or 14103 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10349404560 its reverse (6540494301), we get a palindrome (16889898861).

The spelling of 10349404560 in words is "ten billion, three hundred forty-nine million, four hundred four thousand, five hundred sixty".