1334648327040 has 1920 divisors, whose sum is σ = 6066031783680. Its totient is φ = 277577072640.

The previous prime is 1334648327027. The next prime is 1334648327107. The reversal of 1334648327040 is 407238464331.

1334648327040 is a `hidden beast` number, since 1 + 3 + 3 + 464 + 83 + 2 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1338663822 + ... + 1338664818.

It is an arithmetic number, because the mean of its divisors is an integer number (3159391554).

Almost surely, 2^{1334648327040} is an apocalyptic number.

1334648327040 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 1334648327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033015891840).

1334648327040 is an abundant number, since it is smaller than the sum of its proper divisors (4731383456640).

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

1334648327040 is a wasteful number, since it uses less digits than its factorization.

1334648327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 1334648327040 in words is "one trillion, three hundred thirty-four billion, six hundred forty-eight million, three hundred twenty-seven thousand, forty".