1275114154400 has 72 divisors (see below), whose sum is σ = 3220212916620. Its totient is φ = 492457871360.

The previous prime is 1275114154397. The next prime is 1275114154403. The reversal of 1275114154400 is 44514115721.

It is an interprime number because it is at equal distance from previous prime (1275114154397) and next prime (1275114154403).

It can be written as a sum of positive squares in 6 ways, for example, as 213447696016 + 1061666458384 = 462004^2 + 1030372^2 .

It is a super-2 number, since 2×1275114154400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1275114154403) 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 11 ways as a sum of consecutive naturals, for example, 27457709 + ... + 27504108.

Almost surely, 2^{1275114154400} is an apocalyptic number.

1275114154400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1275114154400 is an abundant number, since it is smaller than the sum of its proper divisors (1945098762220).

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

1275114154400 is a wasteful number, since it uses less digits than its factorization.

1275114154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54961866 (or 54961853 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The spelling of 1275114154400 in words is "one trillion, two hundred seventy-five billion, one hundred fourteen million, one hundred fifty-four thousand, four hundred".