10009738134000 has 1920 divisors, whose sum is σ = 40577682862080. Its totient is φ = 2364650496000.

The previous prime is 10009738133987. The next prime is 10009738134029. The reversal of 10009738134000 is 43183790001.

It is a happy number.

10009738134000 is a `hidden beast` number, since 100 + 0 + 9 + 73 + 81 + 3 + 400 + 0 = 666.

It is a super-2 number, since 2×10009738134000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57859757914 + ... + 57859758086.

It is an arithmetic number, because the mean of its divisors is an integer number (21134209824).

Almost surely, 2^{10009738134000} is an apocalyptic number.

10009738134000 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 10009738134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20288841431040).

10009738134000 is an abundant number, since it is smaller than the sum of its proper divisors (30567944728080).

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

10009738134000 is a wasteful number, since it uses less digits than its factorization.

10009738134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10009738134000 in words is "ten trillion, nine billion, seven hundred thirty-eight million, one hundred thirty-four thousand".