127033661440 has 384 divisors, whose sum is σ = 375107241600. Its totient is φ = 40296775680.

The previous prime is 127033661431. The next prime is 127033661453. The reversal of 127033661440 is 44166330721.

It is a super-2 number, since 2×127033661440² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127033661440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74331306 + ... + 74333014.

It is an arithmetic number, because the mean of its divisors is an integer number (976841775).

Almost surely, 2^127033661440 is an apocalyptic number.

127033661440 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 127033661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187553620800).

127033661440 is an abundant number, since it is smaller than the sum of its proper divisors (248073580160).

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

127033661440 is a wasteful number, since it uses less digits than its factorization.

127033661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 127033661440 in words is "one hundred twenty-seven billion, thirty-three million, six hundred sixty-one thousand, four hundred forty".