1010448640 has 72 divisors (see below), whose sum is σ = 2449758528. Its totient is φ = 399267840.

The previous prime is 1010448617. The next prime is 1010448707. The reversal of 1010448640 is 468440101.

It is a super-3 number, since 3×1010448640³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010448599 and 1010448608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101485 + ... + 110995.

It is an arithmetic number, because the mean of its divisors is an integer number (34024424).

Almost surely, 2^1010448640 is an apocalyptic number.

1010448640 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 1010448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224879264).

1010448640 is an abundant number, since it is smaller than the sum of its proper divisors (1439309888).

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

1010448640 is an frugal number, since it uses more digits than its factorization.

1010448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9615 (or 9601 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1010448640 is about 31787.5547974361. The cubic root of 1010448640 is about 1003.4708194750.

Adding to 1010448640 its reverse (468440101), we get a palindrome (1478888741).

The spelling of 1010448640 in words is "one billion, ten million, four hundred forty-eight thousand, six hundred forty".