153404442440 has 64 divisors (see below), whose sum is σ = 357293592000. Its totient is φ = 59207438080.

The previous prime is 153404442343. The next prime is 153404442517. The reversal of 153404442440 is 44244404351.

153404442440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 153404442440.

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 15 ways as a sum of consecutive naturals, for example, 1780271 + ... + 1864449.

It is an arithmetic number, because the mean of its divisors is an integer number (5582712375).

Almost surely, 2^153404442440 is an apocalyptic number.

153404442440 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 153404442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178646796000).

153404442440 is an abundant number, since it is smaller than the sum of its proper divisors (203889149560).

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

153404442440 is a wasteful number, since it uses less digits than its factorization.

153404442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85790 (or 85786 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 153404442440 its reverse (44244404351), we get a palindrome (197648846791).

The spelling of 153404442440 in words is "one hundred fifty-three billion, four hundred four million, four hundred forty-two thousand, four hundred forty".