1024401400 has 144 divisors (see below), whose sum is σ = 2672786520. Its totient is φ = 362112000.

The previous prime is 1024401377. The next prime is 1024401401. The reversal of 1024401400 is 41044201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024401401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3698062 + ... + 3698338.

Almost surely, 2^1024401400 is an apocalyptic number.

1024401400 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 1024401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336393260).

1024401400 is an abundant number, since it is smaller than the sum of its proper divisors (1648385120).

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

1024401400 is a wasteful number, since it uses less digits than its factorization.

1024401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 336 counting only the distinct ones).

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

The square root of 1024401400 is about 32006.2712604889. The cubic root of 1024401400 is about 1008.0685238333.

Adding to 1024401400 its reverse (41044201), we get a palindrome (1065445601).

The spelling of 1024401400 in words is "one billion, twenty-four million, four hundred one thousand, four hundred".