1306405161600 has 1536 divisors, whose sum is σ = 5688321638400. Its totient is φ = 255301632000.

The previous prime is 1306405161571. The next prime is 1306405161601. The reversal of 1306405161600 is 61615046031.

It is a super-2 number, since 2×1306405161600² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1306405161601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2682556557 + ... + 2682557043.

It is an arithmetic number, because the mean of its divisors is an integer number (3703334400).

Almost surely, 2^{1306405161600} is an apocalyptic number.

1306405161600 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 1306405161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844160819200).

1306405161600 is an abundant number, since it is smaller than the sum of its proper divisors (4381916476800).

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

1306405161600 is a wasteful number, since it uses less digits than its factorization.

1306405161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 1306405161600 in words is "one trillion, three hundred six billion, four hundred five million, one hundred sixty-one thousand, six hundred".