127777432777040 has 80 divisors (see below), whose sum is σ = 314570357369280. Its totient is φ = 48102551562240.

The previous prime is 127777432777003. The next prime is 127777432777051. The reversal of 127777432777040 is 40777234777721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×127777432777040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32950895 + ... + 36623985.

It is an arithmetic number, because the mean of its divisors is an integer number (3932129467116).

Almost surely, 2^{127777432777040} is an apocalyptic number.

127777432777040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127777432777040 is an abundant number, since it is smaller than the sum of its proper divisors (186792924592240).

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

127777432777040 is a wasteful number, since it uses less digits than its factorization.

127777432777040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698700 (or 3698694 counting only the distinct ones).

The product of its (nonzero) digits is 158120256, while the sum is 65.

The spelling of 127777432777040 in words is "one hundred twenty-seven trillion, seven hundred seventy-seven billion, four hundred thirty-two million, seven hundred seventy-seven thousand, forty".