1002252414400 has 168 divisors, whose sum is σ = 2476046701440. Its totient is φ = 399298698240.

The previous prime is 1002252414377. The next prime is 1002252414421. The reversal of 1002252414400 is 44142522001.

1002252414400 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 (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642880821 + ... + 642882379.

Almost surely, 2^{1002252414400} is an apocalyptic number.

1002252414400 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 1002252414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238023350720).

1002252414400 is an abundant number, since it is smaller than the sum of its proper divisors (1473794287040).

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

1002252414400 is a wasteful number, since it uses less digits than its factorization.

1002252414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 1002252414400 its reverse (44142522001), we get a palindrome (1046394936401).

The spelling of 1002252414400 in words is "one trillion, two billion, two hundred fifty-two million, four hundred fourteen thousand, four hundred".