10350545040 has 320 divisors, whose sum is σ = 39031787520. Its totient is φ = 2500277760.

The previous prime is 10350545039. The next prime is 10350545069. The reversal of 10350545040 is 4054505301.

10350545040 is a `hidden beast` number, since 103 + 5 + 0 + 54 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10350544995 and 10350545013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8719327 + ... + 8720513.

It is an arithmetic number, because the mean of its divisors is an integer number (121974336).

Almost surely, 2^10350545040 is an apocalyptic number.

10350545040 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 10350545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19515893760).

10350545040 is an abundant number, since it is smaller than the sum of its proper divisors (28681242480).

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

10350545040 is a wasteful number, since it uses less digits than its factorization.

10350545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 10350545040 in words is "ten billion, three hundred fifty million, five hundred forty-five thousand, forty".