1307744006400 has 864 divisors, whose sum is σ = 5230318016000. Its totient is φ = 317788323840.

The previous prime is 1307744006383. The next prime is 1307744006407. The reversal of 1307744006400 is 46004477031.

It is a happy number.

1307744006400 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 7 + 4 + 4 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1307744006407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177461916 + ... + 177469284.

Almost surely, 2^{1307744006400} is an apocalyptic number.

1307744006400 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 1307744006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615159008000).

1307744006400 is an abundant number, since it is smaller than the sum of its proper divisors (3922574009600).

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

1307744006400 is a wasteful number, since it uses less digits than its factorization.

1307744006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 1307744006400 in words is "one trillion, three hundred seven billion, seven hundred forty-four million, six thousand, four hundred".