154409381038080 has 2160 divisors, whose sum is σ = 659239259728140. Its totient is φ = 33418718871552.

The previous prime is 154409381038057. The next prime is 154409381038093. The reversal of 154409381038080 is 80830183904451.

154409381038080 is a `hidden beast` number, since 1 + 5 + 4 + 409 + 3 + 81 + 0 + 3 + 80 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154337488413696 + 71892624384 = 12423264^2 + 268128^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 79880692794 + ... + 79880694726.

Almost surely, 2^{154409381038080} is an apocalyptic number.

154409381038080 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 154409381038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329619629864070).

154409381038080 is an abundant number, since it is smaller than the sum of its proper divisors (504829878690060).

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

154409381038080 is an equidigital number, since it uses as much as digits as its factorization.

154409381038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 154409381038080 in words is "one hundred fifty-four trillion, four hundred nine billion, three hundred eighty-one million, thirty-eight thousand, eighty".