127077204240 has 640 divisors, whose sum is σ = 519588172800. Its totient is φ = 27931115520.

The previous prime is 127077204227. The next prime is 127077204257. The reversal of 127077204240 is 42402770721.

It is a happy number.

It is a super-2 number, since 2×127077204240² (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 = 127077204195 and 127077204204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154783030 + ... + 154783850.

It is an arithmetic number, because the mean of its divisors is an integer number (811856520).

Almost surely, 2^127077204240 is an apocalyptic number.

127077204240 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 127077204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259794086400).

127077204240 is an abundant number, since it is smaller than the sum of its proper divisors (392510968560).

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

127077204240 is a wasteful number, since it uses less digits than its factorization.

127077204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

Adding to 127077204240 its reverse (42402770721), we get a palindrome (169479974961).

The spelling of 127077204240 in words is "one hundred twenty-seven billion, seventy-seven million, two hundred four thousand, two hundred forty".