10365258240 has 240 divisors, whose sum is σ = 36048056616. Its totient is φ = 2752512000.

The previous prime is 10365258229. The next prime is 10365258251. The reversal of 10365258240 is 4285256301.

10365258240 is a `hidden beast` number, since 1 + 0 + 36 + 5 + 2 + 582 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10365258229) and next prime (10365258251).

It can be written as a sum of positive squares in 4 ways, for example, as 10364868864 + 389376 = 101808^2 + 624^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 10365258195 and 10365258204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6473440 + ... + 6475040.

Almost surely, 2^10365258240 is an apocalyptic number.

10365258240 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 10365258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024028308).

10365258240 is an abundant number, since it is smaller than the sum of its proper divisors (25682798376).

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

10365258240 is a wasteful number, since it uses less digits than its factorization.

10365258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10365258240 in words is "ten billion, three hundred sixty-five million, two hundred fifty-eight thousand, two hundred forty".