10429292544 has 224 divisors, whose sum is σ = 30650102784. Its totient is φ = 3128033280.

The previous prime is 10429292543. The next prime is 10429292567. The reversal of 10429292544 is 44529292401.

It is a junction number, because it is equal to n+sod(n) for n = 10429292496 and 10429292505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10429292543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46768017 + ... + 46768239.

It is an arithmetic number, because the mean of its divisors is an integer number (136830816).

Almost surely, 2^10429292544 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 10429292544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15325051392).

10429292544 is an abundant number, since it is smaller than the sum of its proper divisors (20220810240).

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

10429292544 is a wasteful number, since it uses less digits than its factorization.

10429292544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 10429292544 in words is "ten billion, four hundred twenty-nine million, two hundred ninety-two thousand, five hundred forty-four".