1333385840 has 80 divisors (see below), whose sum is σ = 3185019360. Its totient is φ = 518937600.

The previous prime is 1333385821. The next prime is 1333385849. The reversal of 1333385840 is 485833331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1333385794 and 1333385803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333385849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475322 + ... + 478118.

It is an arithmetic number, because the mean of its divisors is an integer number (39812742).

Almost surely, 2^1333385840 is an apocalyptic number.

1333385840 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 1333385840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592509680).

1333385840 is an abundant number, since it is smaller than the sum of its proper divisors (1851633520).

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

1333385840 is a wasteful number, since it uses less digits than its factorization.

1333385840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 1333385840 is about 36515.5561370767. The cubic root of 1333385840 is about 1100.6568638747.

The spelling of 1333385840 in words is "one billion, three hundred thirty-three million, three hundred eighty-five thousand, eight hundred forty".