1334245152240 has 960 divisors, whose sum is σ = 6217352064000. Its totient is φ = 255914588160.

The previous prime is 1334245152211. The next prime is 1334245152271. The reversal of 1334245152240 is 422515424331.

It is a happy number.

1334245152240 is a `hidden beast` number, since 1 + 3 + 3 + 42 + 4 + 51 + 522 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1334245152195 and 1334245152204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23755711 + ... + 23811809.

It is an arithmetic number, because the mean of its divisors is an integer number (6476408400).

Almost surely, 2^{1334245152240} is an apocalyptic number.

1334245152240 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 1334245152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108676032000).

1334245152240 is an abundant number, since it is smaller than the sum of its proper divisors (4883106911760).

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

1334245152240 is a wasteful number, since it uses less digits than its factorization.

1334245152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56163 (or 56140 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 1334245152240 in words is "one trillion, three hundred thirty-four billion, two hundred forty-five million, one hundred fifty-two thousand, two hundred forty".