1333346104480 has 288 divisors, whose sum is σ = 3564225213696. Its totient is φ = 470254067712.

The previous prime is 1333346104361. The next prime is 1333346104507. The reversal of 1333346104480 is 844016433331.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 760607284 + ... + 760609036.

It is an arithmetic number, because the mean of its divisors is an integer number (12375781992).

Almost surely, 2^{1333346104480} is an apocalyptic number.

1333346104480 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 1333346104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782112606848).

1333346104480 is an abundant number, since it is smaller than the sum of its proper divisors (2230879109216).

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

1333346104480 is a wasteful number, since it uses less digits than its factorization.

1333346104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 1333346104480 in words is "one trillion, three hundred thirty-three billion, three hundred forty-six million, one hundred four thousand, four hundred eighty".