10034032279140 has 72 divisors (see below), whose sum is σ = 32038489042560. Its totient is φ = 2534913417024.

The previous prime is 10034032279099. The next prime is 10034032279177. The reversal of 10034032279140 is 4197223043001.

It is a happy number.

10034032279140 is a `hidden beast` number, since 1 + 0 + 0 + 340 + 3 + 2 + 279 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10034032279095 and 10034032279104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1466960364 + ... + 1466967203.

It is an arithmetic number, because the mean of its divisors is an integer number (444979014480).

Almost surely, 2^{10034032279140} is an apocalyptic number.

10034032279140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034032279140 is an abundant number, since it is smaller than the sum of its proper divisors (22004456763420).

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

10034032279140 is a wasteful number, since it uses less digits than its factorization.

10034032279140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933927601 (or 2933927596 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10034032279140 in words is "ten trillion, thirty-four billion, thirty-two million, two hundred seventy-nine thousand, one hundred forty".