1334010400 has 144 divisors (see below), whose sum is σ = 3523274496. Its totient is φ = 491294720.

The previous prime is 1334010389. The next prime is 1334010407. The reversal of 1334010400 is 40104331.

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 (1334010407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638157 + ... + 640243.

It is an arithmetic number, because the mean of its divisors is an integer number (24467184).

Almost surely, 2^1334010400 is an apocalyptic number.

1334010400 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 1334010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761637248).

1334010400 is an abundant number, since it is smaller than the sum of its proper divisors (2189264096).

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

1334010400 is a wasteful number, since it uses less digits than its factorization.

1334010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1334010400 is about 36524.1071074982. The cubic root of 1334010400 is about 1100.8286868454.

Adding to 1334010400 its reverse (40104331), we get a palindrome (1374114731).

The spelling of 1334010400 in words is "one billion, three hundred thirty-four million, ten thousand, four hundred".