1024140400 has 30 divisors (see below), whose sum is σ = 2460498272. Its totient is φ = 409656000.

The previous prime is 1024140379. The next prime is 1024140409. The reversal of 1024140400 is 40414201.

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 (1024140409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1279776 + ... + 1280575.

Almost surely, 2^1024140400 is an apocalyptic number.

1024140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024140400 is an abundant number, since it is smaller than the sum of its proper divisors (1436357872).

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

1024140400 is a wasteful number, since it uses less digits than its factorization.

1024140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560369 (or 2560358 counting only the distinct ones).

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

The square root of 1024140400 is about 32002.1936748092. The cubic root of 1024140400 is about 1007.9829036741.

Adding to 1024140400 its reverse (40414201), we get a palindrome (1064554601).

The spelling of 1024140400 in words is "one billion, twenty-four million, one hundred forty thousand, four hundred".