1334414400 has 336 divisors, whose sum is σ = 4837785600. Its totient is φ = 319334400.

The previous prime is 1334414357. The next prime is 1334414407. The reversal of 1334414400 is 44144331.

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

It is not an unprimeable number, because it can be changed into a prime (1334414407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6705501 + ... + 6705699.

Almost surely, 2^1334414400 is an apocalyptic number.

1334414400 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 1334414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418892800).

1334414400 is an abundant number, since it is smaller than the sum of its proper divisors (3503371200).

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

1334414400 is a wasteful number, since it uses less digits than its factorization.

1334414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1334414400 is about 36529.6372826230. The cubic root of 1334414400 is about 1100.9398028960.

Adding to 1334414400 its reverse (44144331), we get a palindrome (1378558731).

The spelling of 1334414400 in words is "one billion, three hundred thirty-four million, four hundred fourteen thousand, four hundred".