1334540016 has 80 divisors (see below), whose sum is σ = 3858756000. Its totient is φ = 441580032.

The previous prime is 1334539981. The next prime is 1334540021. The reversal of 1334540016 is 6100454331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47910 + ... + 70458.

It is an arithmetic number, because the mean of its divisors is an integer number (48234450).

Almost surely, 2^1334540016 is an apocalyptic number.

1334540016 is a gapful number since it is divisible by the number (16) 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 1334540016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929378000).

1334540016 is an abundant number, since it is smaller than the sum of its proper divisors (2524215984).

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

1334540016 is a wasteful number, since it uses less digits than its factorization.

1334540016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22703 (or 22691 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1334540016 is about 36531.3566131892. The cubic root of 1334540016 is about 1100.9743477159.

Adding to 1334540016 its reverse (6100454331), we get a palindrome (7434994347).

It can be divided in two parts, 13345 and 40016, that added together give a square (53361 = 231²).

The spelling of 1334540016 in words is "one billion, three hundred thirty-four million, five hundred forty thousand, sixteen".