1010434400 has 72 divisors (see below), whose sum is σ = 2513370384. Its totient is φ = 396531200.

The previous prime is 1010434393. The next prime is 1010434417. The reversal of 1010434400 is 44340101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30485 + ... + 54315.

It is an arithmetic number, because the mean of its divisors is an integer number (34907922).

Almost surely, 2^1010434400 is an apocalyptic number.

1010434400 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 1010434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256685192).

1010434400 is an abundant number, since it is smaller than the sum of its proper divisors (1502935984).

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

1010434400 is a wasteful number, since it uses less digits than its factorization.

1010434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23904 (or 23891 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1010434400 is about 31787.3308096166. The cubic root of 1010434400 is about 1003.4661055651.

Adding to 1010434400 its reverse (44340101), we get a palindrome (1054774501).

The spelling of 1010434400 in words is "one billion, ten million, four hundred thirty-four thousand, four hundred".