1300303670400 has 3072 divisors, whose sum is σ = 6146928000000. Its totient is φ = 267048714240.

The previous prime is 1300303670387. The next prime is 1300303670473. The reversal of 1300303670400 is 40763030031.

It is a happy number.

1300303670400 is a `hidden beast` number, since 130 + 0 + 30 + 36 + 70 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14610153556 + ... + 14610153644.

It is an arithmetic number, because the mean of its divisors is an integer number (2000953125).

Almost surely, 2^{1300303670400} is an apocalyptic number.

1300303670400 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 1300303670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073464000000).

1300303670400 is an abundant number, since it is smaller than the sum of its proper divisors (4846624329600).

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

1300303670400 is a wasteful number, since it uses less digits than its factorization.

1300303670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 1300303670400 in words is "one trillion, three hundred billion, three hundred three million, six hundred seventy thousand, four hundred".