10729238940 has 240 divisors, whose sum is σ = 39253368000. Its totient is φ = 2452270464.

The previous prime is 10729238939. The next prime is 10729238941. The reversal of 10729238940 is 4983292701.

It is an interprime number because it is at equal distance from previous prime (10729238939) and next prime (10729238941).

It is a super-2 number, since 2×10729238940² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10729238941) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 546006 + ... + 565314.

It is an arithmetic number, because the mean of its divisors is an integer number (163555700).

Almost surely, 2^10729238940 is an apocalyptic number.

10729238940 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 10729238940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19626684000).

10729238940 is an abundant number, since it is smaller than the sum of its proper divisors (28524129060).

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

10729238940 is a wasteful number, since it uses less digits than its factorization.

10729238940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19351 (or 19326 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10729238940 in words is "ten billion, seven hundred twenty-nine million, two hundred thirty-eight thousand, nine hundred forty".