10385350140 has 144 divisors (see below), whose sum is σ = 32046658560. Its totient is φ = 2511062400.

The previous prime is 10385350123. The next prime is 10385350177. The reversal of 10385350140 is 4105358301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10385350098 and 10385350107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3127401 + ... + 3130719.

It is an arithmetic number, because the mean of its divisors is an integer number (222546240).

Almost surely, 2^10385350140 is an apocalyptic number.

10385350140 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 10385350140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16023329280).

10385350140 is an abundant number, since it is smaller than the sum of its proper divisors (21661308420).

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

10385350140 is a wasteful number, since it uses less digits than its factorization.

10385350140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10385350140 in words is "ten billion, three hundred eighty-five million, three hundred fifty thousand, one hundred forty".