1427701137408 has 1280 divisors, whose sum is σ = 5499302941440. Its totient is φ = 358763986944.

The previous prime is 1427701137407. The next prime is 1427701137427. The reversal of 1427701137408 is 8047311077241.

1427701137408 is a `hidden beast` number, since 1 + 4 + 277 + 0 + 1 + 1 + 374 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1427701137407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5555257216 + ... + 5555257472.

It is an arithmetic number, because the mean of its divisors is an integer number (4296330423).

Almost surely, 2^{1427701137408} is an apocalyptic number.

1427701137408 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 1427701137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749651470720).

1427701137408 is an abundant number, since it is smaller than the sum of its proper divisors (4071601804032).

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

1427701137408 is an equidigital number, since it uses as much as digits as its factorization.

1427701137408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 1427701137408 in words is "one trillion, four hundred twenty-seven billion, seven hundred one million, one hundred thirty-seven thousand, four hundred eight".