127310145408 has 384 divisors, whose sum is σ = 385630502400. Its totient is φ = 40278712320.

The previous prime is 127310145397. The next prime is 127310145427. The reversal of 127310145408 is 804541013721.

127310145408 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 101 + 4 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×127310145408² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295382953 + ... + 295383383.

It is an arithmetic number, because the mean of its divisors is an integer number (1004246100).

Almost surely, 2^127310145408 is an apocalyptic number.

127310145408 is a gapful number since it is divisible by the number (18) 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 127310145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192815251200).

127310145408 is an abundant number, since it is smaller than the sum of its proper divisors (258320356992).

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

127310145408 is a wasteful number, since it uses less digits than its factorization.

127310145408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 127310145408 in words is "one hundred twenty-seven billion, three hundred ten million, one hundred forty-five thousand, four hundred eight".