1021440400 has 30 divisors (see below), whose sum is σ = 2454011522. Its totient is φ = 408576000.

The previous prime is 1021440397. The next prime is 1021440403. The reversal of 1021440400 is 40441201.

1021440400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1021440397) and next prime (1021440403).

It can be written as a sum of positive squares in 3 ways, for example, as 84345856 + 937094544 = 9184^2 + 30612^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1021440403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1276401 + ... + 1277200.

Almost surely, 2^1021440400 is an apocalyptic number.

1021440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021440400 is an abundant number, since it is smaller than the sum of its proper divisors (1432571122).

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

1021440400 is a wasteful number, since it uses less digits than its factorization.

1021440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553619 (or 2553608 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1021440400 is about 31959.9812265277. The cubic root of 1021440400 is about 1007.0963230803.

Adding to 1021440400 its reverse (40441201), we get a palindrome (1061881601).

The spelling of 1021440400 in words is "one billion, twenty-one million, four hundred forty thousand, four hundred".