1334147640 has 192 divisors, whose sum is σ = 4680115200. Its totient is φ = 298044672.

The previous prime is 1334147629. The next prime is 1334147669. The reversal of 1334147640 is 467414331.

1334147640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1855201 + ... + 1855919.

It is an arithmetic number, because the mean of its divisors is an integer number (24375600).

Almost surely, 2^1334147640 is an apocalyptic number.

1334147640 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 1334147640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340057600).

1334147640 is an abundant number, since it is smaller than the sum of its proper divisors (3345967560).

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

1334147640 is a wasteful number, since it uses less digits than its factorization.

1334147640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 1334147640 is about 36525.9858183184. The cubic root of 1334147640 is about 1100.8664358136.

The spelling of 1334147640 in words is "one billion, three hundred thirty-four million, one hundred forty-seven thousand, six hundred forty".