1002150534400 has 216 divisors, whose sum is σ = 2525587023960. Its totient is φ = 393636741120.

The previous prime is 1002150534377. The next prime is 1002150534409. The reversal of 1002150534400 is 44350512001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 215622779904 + 786527754496 = 464352^2 + 886864^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002150534409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78822444 + ... + 78835156.

Almost surely, 2^{1002150534400} is an apocalyptic number.

1002150534400 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 1002150534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262793511980).

1002150534400 is an abundant number, since it is smaller than the sum of its proper divisors (1523436489560).

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

1002150534400 is a wasteful number, since it uses less digits than its factorization.

1002150534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12961 (or 12942 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 1002150534400 in words is "one trillion, two billion, one hundred fifty million, five hundred thirty-four thousand, four hundred".