10034121961584 has 480 divisors, whose sum is σ = 33388507443200. Its totient is φ = 2811231650304.

The previous prime is 10034121961519. The next prime is 10034121961609. The reversal of 10034121961584 is 48516912143001.

10034121961584 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 1 + 2 + 1 + 9 + 61 + 584 = 666.

It is a congruent number.

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, 737959074 + ... + 737972670.

Almost surely, 2^{10034121961584} is an apocalyptic number.

10034121961584 is a gapful number since it is divisible by the number (14) 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 10034121961584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694253721600).

10034121961584 is an abundant number, since it is smaller than the sum of its proper divisors (23354385481616).

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

10034121961584 is a wasteful number, since it uses less digits than its factorization.

10034121961584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13922 (or 13899 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 10034121 and 961584, that added together give a triangular number (10995705 = T₄₆₈₉).

The spelling of 10034121961584 in words is "ten trillion, thirty-four billion, one hundred twenty-one million, nine hundred sixty-one thousand, five hundred eighty-four".