1002150145440 has 288 divisors, whose sum is σ = 3494700308736. Its totient is φ = 261396817920.

The previous prime is 1002150145439. The next prime is 1002150145453. The reversal of 1002150145440 is 445410512001.

1002150145440 is a `hidden beast` number, since 1 + 0 + 0 + 215 + 0 + 1 + 4 + 5 + 440 = 666.

1002150145440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149772495 + ... + 149779185.

It is an arithmetic number, because the mean of its divisors is an integer number (12134376072).

Almost surely, 2^{1002150145440} is an apocalyptic number.

1002150145440 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 1002150145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747350154368).

1002150145440 is an abundant number, since it is smaller than the sum of its proper divisors (2492550163296).

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

1002150145440 is a wasteful number, since it uses less digits than its factorization.

1002150145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 1002150145440 its reverse (445410512001), we get a palindrome (1447560657441).

The spelling of 1002150145440 in words is "one trillion, two billion, one hundred fifty million, one hundred forty-five thousand, four hundred forty".