10042783296 has 448 divisors, whose sum is σ = 34727497728. Its totient is φ = 2488983552.

The previous prime is 10042783249. The next prime is 10042783301. The reversal of 10042783296 is 69238724001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26924166 + ... + 26924538.

It is an arithmetic number, because the mean of its divisors is an integer number (77516736).

Almost surely, 2^10042783296 is an apocalyptic number.

10042783296 is a gapful number since it is divisible by the number (16) 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 10042783296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17363748864).

10042783296 is an abundant number, since it is smaller than the sum of its proper divisors (24684714432).

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

10042783296 is a wasteful number, since it uses less digits than its factorization.

10042783296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10042783296 in words is "ten billion, forty-two million, seven hundred eighty-three thousand, two hundred ninety-six".