10019449440 has 1152 divisors, whose sum is σ = 48069987840. Its totient is φ = 1916006400.

The previous prime is 10019449403. The next prime is 10019449441. The reversal of 10019449440 is 4494491001.

It is a super-3 number, since 3×10019449440³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10019449395 and 10019449404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10019449441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30270075 + ... + 30270405.

It is an arithmetic number, because the mean of its divisors is an integer number (41727420).

Almost surely, 2^10019449440 is an apocalyptic number.

10019449440 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 10019449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24034993920).

10019449440 is an abundant number, since it is smaller than the sum of its proper divisors (38050538400).

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

10019449440 is a wasteful number, since it uses less digits than its factorization.

10019449440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10019449440 in words is "ten billion, nineteen million, four hundred forty-nine thousand, four hundred forty".