1333332042400 has 72 divisors (see below), whose sum is σ = 3255691247424. Its totient is φ = 533219040000.

The previous prime is 1333332042377. The next prime is 1333332042401. The reversal of 1333332042400 is 42402333331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1333332042401) 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, 3625399 + ... + 3976201.

It is an arithmetic number, because the mean of its divisors is an integer number (45217933992).

Almost surely, 2^{1333332042400} is an apocalyptic number.

1333332042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1333332042400 is an abundant number, since it is smaller than the sum of its proper divisors (1922359205024).

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

1333332042400 is a wasteful number, since it uses less digits than its factorization.

1333332042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355574 (or 355561 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 1333332042400 its reverse (42402333331), we get a palindrome (1375734375731).

The spelling of 1333332042400 in words is "one trillion, three hundred thirty-three billion, three hundred thirty-two million, forty-two thousand, four hundred".