1325740416 has 256 divisors, whose sum is σ = 4729536000. Its totient is φ = 317767680.

The previous prime is 1325740391. The next prime is 1325740469. The reversal of 1325740416 is 6140475231.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382660 + ... + 386108.

It is an arithmetic number, because the mean of its divisors is an integer number (18474750).

Almost surely, 2^1325740416 is an apocalyptic number.

1325740416 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 1325740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364768000).

1325740416 is an abundant number, since it is smaller than the sum of its proper divisors (3403795584).

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

1325740416 is a wasteful number, since it uses less digits than its factorization.

1325740416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1325740416 is about 36410.7184219153. The cubic root of 1325740416 is about 1098.5491660663.

The spelling of 1325740416 in words is "one billion, three hundred twenty-five million, seven hundred forty thousand, four hundred sixteen".