1434014400 has 672 divisors, whose sum is σ = 5996838400. Its totient is φ = 298045440.

The previous prime is 1434014383. The next prime is 1434014423. The reversal of 1434014400 is 44104341.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21403167 + ... + 21403233.

Almost surely, 2^1434014400 is an apocalyptic number.

1434014400 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 1434014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998419200).

1434014400 is an abundant number, since it is smaller than the sum of its proper divisors (4562824000).

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

1434014400 is a wasteful number, since it uses less digits than its factorization.

1434014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1434014400 is about 37868.3825902295. The cubic root of 1434014400 is about 1127.6764325190.

Adding to 1434014400 its reverse (44104341), we get a palindrome (1478118741).

The spelling of 1434014400 in words is "one billion, four hundred thirty-four million, fourteen thousand, four hundred".