149002504741440 has 448 divisors, whose sum is σ = 604059308536320. Its totient is φ = 33869548707840.

The previous prime is 149002504741439. The next prime is 149002504741457. The reversal of 149002504741440 is 44147405200941.

149002504741440 is a `hidden beast` number, since 1 + 4 + 90 + 0 + 2 + 50 + 4 + 74 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 4141174 + ... + 17752586.

It is an arithmetic number, because the mean of its divisors is an integer number (1348346670840).

Almost surely, 2^{149002504741440} is an apocalyptic number.

149002504741440 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 149002504741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302029654268160).

149002504741440 is an abundant number, since it is smaller than the sum of its proper divisors (455056803794880).

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

149002504741440 is a wasteful number, since it uses less digits than its factorization.

149002504741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13611627 (or 13611611 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 149002504741440 in words is "one hundred forty-nine trillion, two billion, five hundred four million, seven hundred forty-one thousand, four hundred forty".