10021749424 has 120 divisors (see below), whose sum is σ = 22000846320. Its totient is φ = 4394557440.

The previous prime is 10021749421. The next prime is 10021749457. The reversal of 10021749424 is 42494712001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 10021749424.

It is not an unprimeable number, because it can be changed into a prime (10021749421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76501839 + ... + 76501969.

It is an arithmetic number, because the mean of its divisors is an integer number (183340386).

Almost surely, 2^10021749424 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 10021749424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11000423160).

10021749424 is an abundant number, since it is smaller than the sum of its proper divisors (11979096896).

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

10021749424 is a wasteful number, since it uses less digits than its factorization.

10021749424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 10021749424 in words is "ten billion, twenty-one million, seven hundred forty-nine thousand, four hundred twenty-four".