2002325414400 has 1440 divisors, whose sum is σ = 7693928985600. Its totient is φ = 496484352000.

The previous prime is 2002325414291. The next prime is 2002325414437. The reversal of 2002325414400 is 44145232002.

2002325414400 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 3 + 254 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13438425526 + ... + 13438425674.

It is an arithmetic number, because the mean of its divisors is an integer number (5343006240).

Almost surely, 2^{2002325414400} is an apocalyptic number.

2002325414400 is a gapful number since it is divisible by the number (20) 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 2002325414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846964492800).

2002325414400 is an abundant number, since it is smaller than the sum of its proper divisors (5691603571200).

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

2002325414400 is a wasteful number, since it uses less digits than its factorization.

2002325414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 2002325414400 in words is "two trillion, two billion, three hundred twenty-five million, four hundred fourteen thousand, four hundred".