1405341616 has 80 divisors (see below), whose sum is σ = 3183653376. Its totient is φ = 588538368.

The previous prime is 1405341611. The next prime is 1405341617. The reversal of 1405341616 is 6161435041.

It is a super-2 number, since 2×1405341616² = 3949970115322982912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1405341611) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1027365 + ... + 1028731.

Almost surely, 2^1405341616 is an apocalyptic number.

1405341616 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 1405341616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591826688).

1405341616 is an abundant number, since it is smaller than the sum of its proper divisors (1778311760).

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

1405341616 is a wasteful number, since it uses less digits than its factorization.

1405341616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1405341616 is about 37487.8862567630. The cubic root of 1405341616 is about 1120.1098999300.

Adding to 1405341616 its reverse (6161435041), we get a palindrome (7566776657).

The spelling of 1405341616 in words is "one billion, four hundred five million, three hundred forty-one thousand, six hundred sixteen".