1333409040 has 240 divisors, whose sum is σ = 4692699648. Its totient is φ = 351848448.

The previous prime is 1333409029. The next prime is 1333409083. The reversal of 1333409040 is 409043331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1333408995 and 1333409013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2196417 + ... + 2197023.

Almost surely, 2^1333409040 is an apocalyptic number.

1333409040 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 1333409040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346349824).

1333409040 is an abundant number, since it is smaller than the sum of its proper divisors (3359290608).

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

1333409040 is a wasteful number, since it uses less digits than its factorization.

1333409040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1333409040 is about 36515.8738085233. The cubic root of 1333409040 is about 1100.6632473961.

The spelling of 1333409040 in words is "one billion, three hundred thirty-three million, four hundred nine thousand, forty".