1409121429660 has 288 divisors, whose sum is σ = 5068880474112. Its totient is φ = 321894051840.

The previous prime is 1409121429641. The next prime is 1409121429679. The reversal of 1409121429660 is 669241219041.

1409121429660 is a `hidden beast` number, since 1 + 4 + 0 + 91 + 214 + 296 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1409121429641) and next prime (1409121429679).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 62007100 + ... + 62029820.

It is an arithmetic number, because the mean of its divisors is an integer number (17600279424).

Almost surely, 2^{1409121429660} is an apocalyptic number.

1409121429660 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 1409121429660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534440237056).

1409121429660 is an abundant number, since it is smaller than the sum of its proper divisors (3659759044452).

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

1409121429660 is a wasteful number, since it uses less digits than its factorization.

1409121429660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24575 (or 24561 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1409121429660 in words is "one trillion, four hundred nine billion, one hundred twenty-one million, four hundred twenty-nine thousand, six hundred sixty".