1409427128160 has 144 divisors (see below), whose sum is σ = 4830859169136. Its totient is φ = 374191432704.

The previous prime is 1409427128149. The next prime is 1409427128167. The reversal of 1409427128160 is 618217249041.

1409427128160 is a `hidden beast` number, since 1 + 40 + 9 + 4 + 271 + 281 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409427128167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1828999 + ... + 2482758.

It is an arithmetic number, because the mean of its divisors is an integer number (33547633119).

Almost surely, 2^{1409427128160} is an apocalyptic number.

1409427128160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1409427128160 is an abundant number, since it is smaller than the sum of its proper divisors (3421432040976).

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

1409427128160 is a wasteful number, since it uses less digits than its factorization.

1409427128160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312005 (or 4311994 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1409427128160 in words is "one trillion, four hundred nine billion, four hundred twenty-seven million, one hundred twenty-eight thousand, one hundred sixty".