1274408836128 has 192 divisors, whose sum is σ = 3764903224320. Its totient is φ = 419353583616.

The previous prime is 1274408836121. The next prime is 1274408836133. The reversal of 1274408836128 is 8216388044721.

1274408836128 is a `hidden beast` number, since 1 + 274 + 4 + 0 + 8 + 8 + 361 + 2 + 8 = 666.

It is a super-2 number, since 2×1274408836128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1274408836121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33252625 + ... + 33290927.

It is an arithmetic number, because the mean of its divisors is an integer number (19608870960).

Almost surely, 2^{1274408836128} is an apocalyptic number.

1274408836128 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 1274408836128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882451612160).

1274408836128 is an abundant number, since it is smaller than the sum of its proper divisors (2490494388192).

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

1274408836128 is a wasteful number, since it uses less digits than its factorization.

1274408836128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38816 (or 38802 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 1274408836128 in words is "one trillion, two hundred seventy-four billion, four hundred eight million, eight hundred thirty-six thousand, one hundred twenty-eight".