10245493440 has 896 divisors, whose sum is σ = 45307422720. Its totient is φ = 2122039296.

The previous prime is 10245493421. The next prime is 10245493483. The reversal of 10245493440 is 4439454201.

10245493440 is a `hidden beast` number, since 102 + 4 + 549 + 3 + 4 + 4 + 0 = 666.

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 = 10245493395 and 10245493404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65257842 + ... + 65257998.

It is an arithmetic number, because the mean of its divisors is an integer number (50566320).

Almost surely, 2^10245493440 is an apocalyptic number.

10245493440 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 10245493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22653711360).

10245493440 is an abundant number, since it is smaller than the sum of its proper divisors (35061929280).

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

10245493440 is a wasteful number, since it uses less digits than its factorization.

10245493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10245493440 in words is "ten billion, two hundred forty-five million, four hundred ninety-three thousand, four hundred forty".