127005346440 has 320 divisors, whose sum is σ = 489447826560. Its totient is φ = 28935429120.

The previous prime is 127005346439. The next prime is 127005346459. The reversal of 127005346440 is 44643500721.

127005346440 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 0 + 5 + 3 + 4 + 644 + 0 = 666.

It is a super-2 number, since 2×127005346440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 127005346395 and 127005346404.

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 79 ways as a sum of consecutive naturals, for example, 7089895 + ... + 7107785.

It is an arithmetic number, because the mean of its divisors is an integer number (1529524458).

Almost surely, 2^127005346440 is an apocalyptic number.

127005346440 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 127005346440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244723913280).

127005346440 is an abundant number, since it is smaller than the sum of its proper divisors (362442480120).

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

127005346440 is a wasteful number, since it uses less digits than its factorization.

127005346440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18234 (or 18221 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 127005346440 in words is "one hundred twenty-seven billion, five million, three hundred forty-six thousand, four hundred forty".