10398274266240 has 1536 divisors, whose sum is σ = 45268198617600. Its totient is φ = 2208680607744.

The previous prime is 10398274266161. The next prime is 10398274266271. The reversal of 10398274266240 is 4266247289301.

It is a happy number.

10398274266240 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 8 + 2 + 7 + 4 + 2 + 6 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2314325434 + ... + 2314329926.

It is an arithmetic number, because the mean of its divisors is an integer number (29471483475).

Almost surely, 2^{10398274266240} is an apocalyptic number.

10398274266240 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 10398274266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22634099308800).

10398274266240 is an abundant number, since it is smaller than the sum of its proper divisors (34869924351360).

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

10398274266240 is a wasteful number, since it uses less digits than its factorization.

10398274266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 10398274266240 in words is "ten trillion, three hundred ninety-eight billion, two hundred seventy-four million, two hundred sixty-six thousand, two hundred forty".