2398418006400 has 1152 divisors, whose sum is σ = 9419522112000. Its totient is φ = 577522483200.

The previous prime is 2398418006381. The next prime is 2398418006401. The reversal of 2398418006400 is 46008148932.

It is a happy number.

2398418006400 is a `hidden beast` number, since 239 + 8 + 4 + 1 + 8 + 0 + 0 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2398418006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3874665291 + ... + 3874665909.

It is an arithmetic number, because the mean of its divisors is an integer number (8176668500).

Almost surely, 2^{2398418006400} is an apocalyptic number.

2398418006400 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 2398418006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709761056000).

2398418006400 is an abundant number, since it is smaller than the sum of its proper divisors (7021104105600).

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

2398418006400 is a wasteful number, since it uses less digits than its factorization.

2398418006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2398418006400 in words is "two trillion, three hundred ninety-eight billion, four hundred eighteen million, six thousand, four hundred".