1002125454400 has 168 divisors, whose sum is σ = 2818716126336. Its totient is φ = 343513190400.

The previous prime is 1002125454359. The next prime is 1002125454401. The reversal of 1002125454400 is 44545212001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1002125454401) 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, 102598317 + ... + 102608083.

Almost surely, 2^{1002125454400} is an apocalyptic number.

1002125454400 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 1002125454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409358063168).

1002125454400 is an abundant number, since it is smaller than the sum of its proper divisors (1816590671936).

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

1002125454400 is an equidigital number, since it uses as much as digits as its factorization.

1002125454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18957 (or 18942 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 1002125454400 in words is "one trillion, two billion, one hundred twenty-five million, four hundred fifty-four thousand, four hundred".