1271631782400 has 480 divisors, whose sum is σ = 4805519093760. Its totient is φ = 290376990720.

The previous prime is 1271631782329. The next prime is 1271631782413. The reversal of 1271631782400 is 42871361721.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421208091 + ... + 421211109.

It is an arithmetic number, because the mean of its divisors is an integer number (10011498112).

Almost surely, 2^{1271631782400} is an apocalyptic number.

1271631782400 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 1271631782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402759546880).

1271631782400 is an abundant number, since it is smaller than the sum of its proper divisors (3533887311360).

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

1271631782400 is a wasteful number, since it uses less digits than its factorization.

1271631782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 1271631782400 in words is "one trillion, two hundred seventy-one billion, six hundred thirty-one million, seven hundred eighty-two thousand, four hundred".