10149553440 has 288 divisors, whose sum is σ = 37777259520. Its totient is φ = 2466367488.

The previous prime is 10149553397. The next prime is 10149553457. The reversal of 10149553440 is 4435594101.

It is a happy number.

10149553440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 10149553395 and 10149553404.

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 47 ways as a sum of consecutive naturals, for example, 1475449 + ... + 1482311.

It is an arithmetic number, because the mean of its divisors is an integer number (131171040).

Almost surely, 2^10149553440 is an apocalyptic number.

10149553440 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 10149553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18888629760).

10149553440 is an abundant number, since it is smaller than the sum of its proper divisors (27627706080).

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

10149553440 is a wasteful number, since it uses less digits than its factorization.

10149553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6976 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10149553440 in words is "ten billion, one hundred forty-nine million, five hundred fifty-three thousand, four hundred forty".