1334064790080 has 2688 divisors, whose sum is σ = 5904876257280. Its totient is φ = 282802544640.

The previous prime is 1334064790013. The next prime is 1334064790081. The reversal of 1334064790080 is 800974604331.

1334064790080 is a `hidden beast` number, since 133 + 40 + 6 + 479 + 0 + 0 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (1334064790081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16073069719 + ... + 16073069801.

It is an arithmetic number, because the mean of its divisors is an integer number (2196754560).

Almost surely, 2^{1334064790080} is an apocalyptic number.

1334064790080 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 1334064790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952438128640).

1334064790080 is an abundant number, since it is smaller than the sum of its proper divisors (4570811467200).

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

1334064790080 is a wasteful number, since it uses less digits than its factorization.

1334064790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 13340 and 64790080, that added together give a triangular number (64803420 = T₁₁₃₈₄).

The spelling of 1334064790080 in words is "one trillion, three hundred thirty-four billion, sixty-four million, seven hundred ninety thousand, eighty".