10129075031040 has 2112 divisors, whose sum is σ = 41643313827840. Its totient is φ = 2086844497920.

The previous prime is 10129075031003. The next prime is 10129075031099. The reversal of 10129075031040 is 4013057092101.

It is a junction number, because it is equal to n+sod(n) for n = 10129075030992 and 10129075031010.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32361261924 + ... + 32361262236.

Almost surely, 2^{10129075031040} is an apocalyptic number.

10129075031040 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 10129075031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20821656913920).

10129075031040 is an abundant number, since it is smaller than the sum of its proper divisors (31514238796800).

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

10129075031040 is a wasteful number, since it uses less digits than its factorization.

10129075031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 10129075031040 in words is "ten trillion, one hundred twenty-nine billion, seventy-five million, thirty-one thousand, forty".