1306000238400 has 1008 divisors, whose sum is σ = 5635837547200. Its totient is φ = 292236595200.

The previous prime is 1306000238377. The next prime is 1306000238437. The reversal of 1306000238400 is 48320006031.

It is a happy number.

1306000238400 is a `hidden beast` number, since 1 + 30 + 600 + 0 + 23 + 8 + 4 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 67943991 + ... + 67963209.

Almost surely, 2^{1306000238400} is an apocalyptic number.

1306000238400 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 1306000238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817918773600).

1306000238400 is an abundant number, since it is smaller than the sum of its proper divisors (4329837308800).

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

1306000238400 is a wasteful number, since it uses less digits than its factorization.

1306000238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19285 (or 19253 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 1306000238400 in words is "one trillion, three hundred six billion, two hundred thirty-eight thousand, four hundred".