1002154822140 has 96 divisors (see below), whose sum is σ = 2875020402240. Its totient is φ = 260673587200.

The previous prime is 1002154822129. The next prime is 1002154822183. The reversal of 1002154822140 is 412284512001.

1002154822140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1002154822098 and 1002154822107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13909810 + ... + 13981670.

It is an arithmetic number, because the mean of its divisors is an integer number (29948129190).

Almost surely, 2^{1002154822140} is an apocalyptic number.

1002154822140 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 1002154822140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437510201120).

1002154822140 is an abundant number, since it is smaller than the sum of its proper divisors (1872865580100).

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

1002154822140 is a wasteful number, since it uses less digits than its factorization.

1002154822140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77583 (or 77581 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 1002154822140 in words is "one trillion, two billion, one hundred fifty-four million, eight hundred twenty-two thousand, one hundred forty".