10409660352 has 560 divisors, whose sum is σ = 38646181280. Its totient is φ = 2731180032.

The previous prime is 10409660347. The next prime is 10409660353. The reversal of 10409660352 is 25306690401.

It is a happy number.

10409660352 is a `hidden beast` number, since 1 + 0 + 40 + 9 + 6 + 603 + 5 + 2 = 666.

It is a super-2 number, since 2×10409660352² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10409660353) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53935968 + ... + 53936160.

It is an arithmetic number, because the mean of its divisors is an integer number (69011038).

Almost surely, 2^10409660352 is an apocalyptic number.

10409660352 is a gapful number since it is divisible by the number (12) 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 10409660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323090640).

10409660352 is an abundant number, since it is smaller than the sum of its proper divisors (28236520928).

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

10409660352 is an equidigital number, since it uses as much as digits as its factorization.

10409660352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 10409 and 660352, that added together give a square (670761 = 819²).

The spelling of 10409660352 in words is "ten billion, four hundred nine million, six hundred sixty thousand, three hundred fifty-two".