1427179905432 has 128 divisors (see below), whose sum is σ = 4044346329600. Its totient is φ = 466154642304.

The previous prime is 1427179905409. The next prime is 1427179905439. The reversal of 1427179905432 is 2345099717241.

1427179905432 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 1 + 7 + 9 + 90 + 543 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427179905439) 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, 8930373 + ... + 9088779.

It is an arithmetic number, because the mean of its divisors is an integer number (31596455700).

Almost surely, 2^{1427179905432} is an apocalyptic number.

1427179905432 is a gapful number since it is divisible by the number (12) 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 1427179905432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022173164800).

1427179905432 is an abundant number, since it is smaller than the sum of its proper divisors (2617166424168).

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

1427179905432 is a wasteful number, since it uses less digits than its factorization.

1427179905432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159262 (or 159252 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1427179905432 in words is "one trillion, four hundred twenty-seven billion, one hundred seventy-nine million, nine hundred five thousand, four hundred thirty-two".