1010424400 has 60 divisors (see below), whose sum is σ = 2434512832. Its totient is φ = 403009920.

The previous prime is 1010424347. The next prime is 1010424403. The reversal of 1010424400 is 44240101.

1010424400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010424403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143359 + ... + 150241.

Almost surely, 2^1010424400 is an apocalyptic number.

1010424400 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 1010424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217256416).

1010424400 is an abundant number, since it is smaller than the sum of its proper divisors (1424088432).

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

1010424400 is a wasteful number, since it uses less digits than its factorization.

1010424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7268 (or 7257 counting only the distinct ones).

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

The square root of 1010424400 is about 31787.1735138562. The cubic root of 1010424400 is about 1003.4627952086.

Adding to 1010424400 its reverse (44240101), we get a palindrome (1054664501).

The spelling of 1010424400 in words is "one billion, ten million, four hundred twenty-four thousand, four hundred".