1427071520420 has 108 divisors (see below), whose sum is σ = 3774924283284. Its totient is φ = 451644560640.

The previous prime is 1427071520393. The next prime is 1427071520443. The reversal of 1427071520420 is 240251707241.

It can be written as a sum of positive squares in 6 ways, for example, as 702029488384 + 725042032036 = 837872^2 + 851494^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4142651 + ... + 4473890.

It is an arithmetic number, because the mean of its divisors is an integer number (34953002623).

Almost surely, 2^{1427071520420} is an apocalyptic number.

1427071520420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1427071520420 is an abundant number, since it is smaller than the sum of its proper divisors (2347852762864).

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

1427071520420 is a wasteful number, since it uses less digits than its factorization.

1427071520420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8616590 (or 8616568 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

It can be divided in two parts, 1427071 and 520420, that added together give a palindrome (1947491).

The spelling of 1427071520420 in words is "one trillion, four hundred twenty-seven billion, seventy-one million, five hundred twenty thousand, four hundred twenty".