1434400440 has 128 divisors (see below), whose sum is σ = 4941561600. Its totient is φ = 329425920.

The previous prime is 1434400403. The next prime is 1434400477. The reversal of 1434400440 is 440044341.

It is an interprime number because it is at equal distance from previous prime (1434400403) and next prime (1434400477).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1434400440.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3517 + ... + 53676.

It is an arithmetic number, because the mean of its divisors is an integer number (38605950).

Almost surely, 2^1434400440 is an apocalyptic number.

1434400440 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 1434400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470780800).

1434400440 is an abundant number, since it is smaller than the sum of its proper divisors (3507161160).

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

1434400440 is a wasteful number, since it uses less digits than its factorization.

1434400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57237 (or 57233 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1434400440 is about 37873.4793754152. The cubic root of 1434400440 is about 1127.7776144765. Note that the first 3 decimals are identical.

Adding to 1434400440 its reverse (440044341), we get a palindrome (1874444781).

The spelling of 1434400440 in words is "one billion, four hundred thirty-four million, four hundred thousand, four hundred forty".