10129076429640 has 512 divisors, whose sum is σ = 35300966400000. Its totient is φ = 2277433138176.

The previous prime is 10129076429639. The next prime is 10129076429657. The reversal of 10129076429640 is 4692467092101.

It is a Cunningham number, because it is equal to 3182621²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9528763749 + ... + 9528764811.

It is an arithmetic number, because the mean of its divisors is an integer number (68947200000).

Almost surely, 2^{10129076429640} is an apocalyptic number.

10129076429640 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 10129076429640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17650483200000).

10129076429640 is an abundant number, since it is smaller than the sum of its proper divisors (25171889970360).

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

10129076429640 is a wasteful number, since it uses less digits than its factorization.

10129076429640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 10129076429640 in words is "ten trillion, one hundred twenty-nine billion, seventy-six million, four hundred twenty-nine thousand, six hundred forty".