1427202958336 has 99 divisors (see below), whose sum is σ = 2935113542739. Its totient is φ = 693626830848.

The previous prime is 1427202958273. The next prime is 1427202958343. The reversal of 1427202958336 is 6338592027241.

It is a happy number.

The square root of 1427202958336 is 1194656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 92124390400 + 1335078567936 = 303520^2 + 1155456^2 .

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 8 ways as a sum of consecutive naturals, for example, 1414472200 + ... + 1414473208.

It is a 1-persistent number, because it is pandigital, but 2⋅1427202958336 = 2854405916672 is not.

Almost surely, 2^{1427202958336} is an apocalyptic number.

1427202958336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1427202958336 is the 1194656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427202958336

1427202958336 is an abundant number, since it is smaller than the sum of its proper divisors (1507910584403).

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

1427202958336 is an frugal number, since it uses more digits than its factorization.

1427202958336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 1427202958336 in words is "one trillion, four hundred twenty-seven billion, two hundred two million, nine hundred fifty-eight thousand, three hundred thirty-six".