10398961440 has 576 divisors, whose sum is σ = 44293616640. Its totient is φ = 2250685440.

The previous prime is 10398961427. The next prime is 10398961477. The reversal of 10398961440 is 4416989301.

10398961440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5170035 + ... + 5172045.

It is an arithmetic number, because the mean of its divisors is an integer number (76898640).

Almost surely, 2^10398961440 is an apocalyptic number.

10398961440 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 10398961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22146808320).

10398961440 is an abundant number, since it is smaller than the sum of its proper divisors (33894655200).

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

10398961440 is a wasteful number, since it uses less digits than its factorization.

10398961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10398961440 in words is "ten billion, three hundred ninety-eight million, nine hundred sixty-one thousand, four hundred forty".