10062434340 has 288 divisors, whose sum is σ = 35877703680. Its totient is φ = 2235340800.

The previous prime is 10062434339. The next prime is 10062434357. The reversal of 10062434340 is 4343426001.

10062434340 is a `hidden beast` number, since 1 + 0 + 0 + 624 + 3 + 4 + 34 + 0 = 666.

It is a super-2 number, since 2×10062434340² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 6839805 + ... + 6841275.

It is an arithmetic number, because the mean of its divisors is an integer number (124575360).

Almost surely, 2^10062434340 is an apocalyptic number.

10062434340 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 10062434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17938851840).

10062434340 is an abundant number, since it is smaller than the sum of its proper divisors (25815269340).

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

10062434340 is a wasteful number, since it uses less digits than its factorization.

10062434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 10062434340 in words is "ten billion, sixty-two million, four hundred thirty-four thousand, three hundred forty".