127225607040 has 1536 divisors, whose sum is σ = 559930060800. Its totient is φ = 27172454400.

The previous prime is 127225607027. The next prime is 127225607051. The reversal of 127225607040 is 40706522721.

It is a happy number.

127225607040 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 2 + 5 + 607 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 127225606986 and 127225607004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 971187775 + ... + 971187905.

It is an arithmetic number, because the mean of its divisors is an integer number (364537800).

Almost surely, 2^127225607040 is an apocalyptic number.

127225607040 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 127225607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279965030400).

127225607040 is an abundant number, since it is smaller than the sum of its proper divisors (432704453760).

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

127225607040 is a wasteful number, since it uses less digits than its factorization.

127225607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 127225607040 in words is "one hundred twenty-seven billion, two hundred twenty-five million, six hundred seven thousand, forty".