10365067440 has 720 divisors, whose sum is σ = 44235240192. Its totient is φ = 2128508928.

The previous prime is 10365067421. The next prime is 10365067457. The reversal of 10365067440 is 4476056301.

It is a happy number.

10365067440 is a `hidden beast` number, since 10 + 36 + 506 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 10365067395 and 10365067404.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36625539 + ... + 36625821.

Almost surely, 2^10365067440 is an apocalyptic number.

10365067440 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 10365067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22117620096).

10365067440 is an abundant number, since it is smaller than the sum of its proper divisors (33870172752).

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

10365067440 is a wasteful number, since it uses less digits than its factorization.

10365067440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10365067440 in words is "ten billion, three hundred sixty-five million, sixty-seven thousand, four hundred forty".