10072124340 has 24 divisors (see below), whose sum is σ = 28201948320. Its totient is φ = 2685899808.

The previous prime is 10072124339. The next prime is 10072124353. The reversal of 10072124340 is 4342127001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10072124340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83934310 + ... + 83934429.

It is an arithmetic number, because the mean of its divisors is an integer number (1175081180).

Almost surely, 2^10072124340 is an apocalyptic number.

10072124340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10072124340 is an abundant number, since it is smaller than the sum of its proper divisors (18129823980).

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

10072124340 is a wasteful number, since it uses less digits than its factorization.

10072124340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167868751 (or 167868749 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 10072124340 in words is "ten billion, seventy-two million, one hundred twenty-four thousand, three hundred forty".