1270604966400 has 2880 divisors, whose sum is σ = 6247207296000. Its totient is φ = 249429196800.

The previous prime is 1270604966399. The next prime is 1270604966417. The reversal of 1270604966400 is 46694060721.

1270604966400 is a `hidden beast` number, since 127 + 0 + 60 + 4 + 9 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1270604966400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 3539289421 + ... + 3539289779.

It is an arithmetic number, because the mean of its divisors is an integer number (2169169200).

Almost surely, 2^{1270604966400} is an apocalyptic number.

1270604966400 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 1270604966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123603648000).

1270604966400 is an abundant number, since it is smaller than the sum of its proper divisors (4976602329600).

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

1270604966400 is a wasteful number, since it uses less digits than its factorization.

1270604966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1270604966400 in words is "one trillion, two hundred seventy billion, six hundred four million, nine hundred sixty-six thousand, four hundred".