1002154441540 has 108 divisors (see below), whose sum is σ = 2479516394796. Its totient is φ = 339244424064.

The previous prime is 1002154441487. The next prime is 1002154441567. The reversal of 1002154441540 is 451444512001.

1002154441540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 721493950464 + 280660491076 = 849408^2 + 529774^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6034254 + ... + 6198106.

It is an arithmetic number, because the mean of its divisors is an integer number (22958485137).

Almost surely, 2^{1002154441540} is an apocalyptic number.

1002154441540 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 1002154441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239758197398).

1002154441540 is an abundant number, since it is smaller than the sum of its proper divisors (1477361953256).

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

1002154441540 is a wasteful number, since it uses less digits than its factorization.

1002154441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164034 (or 163946 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 1002154441540 its reverse (451444512001), we get a palindrome (1453598953541).

The spelling of 1002154441540 in words is "one trillion, two billion, one hundred fifty-four million, four hundred forty-one thousand, five hundred forty".