1434038400 has 576 divisors, whose sum is σ = 5660296200. Its totient is φ = 344064000.

The previous prime is 1434038387. The next prime is 1434038423. The reversal of 1434038400 is 48304341.

It can be written as a sum of positive squares in 12 ways, for example, as 600446016 + 833592384 = 24504^2 + 28872^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1434038400² = 4112932265349120000, which contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 14198350 + ... + 14198450.

Almost surely, 2^1434038400 is an apocalyptic number.

1434038400 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 1434038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830148100).

1434038400 is an abundant number, since it is smaller than the sum of its proper divisors (4226257800).

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

1434038400 is a wasteful number, since it uses less digits than its factorization.

1434038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1434038400 is about 37868.6994759524. The cubic root of 1434038400 is about 1127.6827235027.

The spelling of 1434038400 in words is "one billion, four hundred thirty-four million, thirty-eight thousand, four hundred".