1270185200640 has 352 divisors, whose sum is σ = 4517266541760. Its totient is φ = 338471682048.

The previous prime is 1270185200567. The next prime is 1270185200677. The reversal of 1270185200640 is 460025810721.

1270185200640 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 1 + 8 + 5 + 2 + 0 + 0 + 640 = 666.

It is a super-2 number, since 2×1270185200640² (a number of 25 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 = 1270185200595 and 1270185200604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272745192 + ... + 272749848.

Almost surely, 2^{1270185200640} is an apocalyptic number.

1270185200640 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 1270185200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258633270880).

1270185200640 is an abundant number, since it is smaller than the sum of its proper divisors (3247081341120).

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

1270185200640 is a wasteful number, since it uses less digits than its factorization.

1270185200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 6640 counting only the distinct ones).

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

The spelling of 1270185200640 in words is "one trillion, two hundred seventy billion, one hundred eighty-five million, two hundred thousand, six hundred forty".