1334802227904 has 896 divisors, whose sum is σ = 4412435005440. Its totient is φ = 393784934400.

The previous prime is 1334802227897. The next prime is 1334802227917. The reversal of 1334802227904 is 4097222084331.

1334802227904 is a `hidden beast` number, since 1 + 334 + 8 + 0 + 2 + 227 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1334802227904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7992827629 + ... + 7992827795.

It is an arithmetic number, because the mean of its divisors is an integer number (4924592640).

Almost surely, 2^{1334802227904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334802227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206217502720).

1334802227904 is an abundant number, since it is smaller than the sum of its proper divisors (3077632777536).

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

1334802227904 is a wasteful number, since it uses less digits than its factorization.

1334802227904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1334802227904 in words is "one trillion, three hundred thirty-four billion, eight hundred two million, two hundred twenty-seven thousand, nine hundred four".