1427681640 has 192 divisors, whose sum is σ = 5435501760. Its totient is φ = 296647680.

The previous prime is 1427681639. The next prime is 1427681669. The reversal of 1427681640 is 461867241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53644 + ... + 75716.

It is an arithmetic number, because the mean of its divisors is an integer number (28309905).

Almost surely, 2^1427681640 is an apocalyptic number.

1427681640 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 1427681640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717750880).

1427681640 is an abundant number, since it is smaller than the sum of its proper divisors (4007820120).

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

1427681640 is a wasteful number, since it uses less digits than its factorization.

1427681640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22112 (or 22101 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1427681640 is about 37784.6746710885. The cubic root of 1427681640 is about 1126.0140032983.

The spelling of 1427681640 in words is "one billion, four hundred twenty-seven million, six hundred eighty-one thousand, six hundred forty".