1011344400 has 240 divisors, whose sum is σ = 3927337920. Its totient is φ = 245145600.

The previous prime is 1011344393. The next prime is 1011344423. The reversal of 1011344400 is 44431101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1011344400² = 2045634990822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114544 + ... + 123056.

It is an arithmetic number, because the mean of its divisors is an integer number (16363908).

Almost surely, 2^1011344400 is an apocalyptic number.

1011344400 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 1011344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963668960).

1011344400 is an abundant number, since it is smaller than the sum of its proper divisors (2915993520).

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

1011344400 is a wasteful number, since it uses less digits than its factorization.

1011344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8551 (or 8534 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1011344400 is about 31801.6414670690. The cubic root of 1011344400 is about 1003.7672566223.

Adding to 1011344400 its reverse (44431101), we get a palindrome (1055775501).

The spelling of 1011344400 in words is "one billion, eleven million, three hundred forty-four thousand, four hundred".