10429689939264 has 672 divisors, whose sum is σ = 33176737751040. Its totient is φ = 3121174425600.

The previous prime is 10429689939259. The next prime is 10429689939269. The reversal of 10429689939264 is 46293998692401.

10429689939264 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 96 + 8 + 99 + 392 + 64 = 666.

10429689939264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10429689939259) and next prime (10429689939269).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10429689939192 and 10429689939201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10429689939269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5759076919 + ... + 5759078729.

Almost surely, 2^{10429689939264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10429689939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588368875520).

10429689939264 is an abundant number, since it is smaller than the sum of its proper divisors (22747047811776).

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

10429689939264 is a wasteful number, since it uses less digits than its factorization.

10429689939264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 10429689939264 in words is "ten trillion, four hundred twenty-nine billion, six hundred eighty-nine million, nine hundred thirty-nine thousand, two hundred sixty-four".