1333142400 has 96 divisors (see below), whose sum is σ = 4391069400. Its totient is φ = 355502080.

The previous prime is 1333142381. The next prime is 1333142401. The reversal of 1333142400 is 42413331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333142401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59835 + ... + 79034.

Almost surely, 2^1333142400 is an apocalyptic number.

1333142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1333142400 is an abundant number, since it is smaller than the sum of its proper divisors (3057927000).

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

1333142400 is a wasteful number, since it uses less digits than its factorization.

1333142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138896 (or 138879 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1333142400 is about 36512.2226110655. Note that the first 3 decimals coincide. The cubic root of 1333142400 is about 1100.5898764589.

Adding to 1333142400 its reverse (42413331), we get a palindrome (1375555731).

The spelling of 1333142400 in words is "one billion, three hundred thirty-three million, one hundred forty-two thousand, four hundred".