10306739940 has 144 divisors (see below), whose sum is σ = 35036195712. Its totient is φ = 2217222144.

The previous prime is 10306739929. The next prime is 10306739951. The reversal of 10306739940 is 4993760301.

10306739940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10306739929) and next prime (10306739951).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10306739892 and 10306739901.

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, 78924 + ... + 163836.

Almost surely, 2^10306739940 is an apocalyptic number.

10306739940 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 10306739940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17518097856).

10306739940 is an abundant number, since it is smaller than the sum of its proper divisors (24729455772).

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

10306739940 is a wasteful number, since it uses less digits than its factorization.

10306739940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84966 (or 84947 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 10306739940 in words is "ten billion, three hundred six million, seven hundred thirty-nine thousand, nine hundred forty".