4098215822400 has 3024 divisors, whose sum is σ = 19042521914880. Its totient is φ = 853842124800.

The previous prime is 4098215822383. The next prime is 4098215822411. The reversal of 4098215822400 is 42285128904.

4098215822400 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 21 + 582 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 23689108714 + ... + 23689108886.

Almost surely, 2^{4098215822400} is an apocalyptic number.

4098215822400 is a gapful number since it is divisible by the number (40) 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 4098215822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521260957440).

4098215822400 is an abundant number, since it is smaller than the sum of its proper divisors (14944306092480).

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

4098215822400 is a wasteful number, since it uses less digits than its factorization.

4098215822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 4098215822400 in words is "four trillion, ninety-eight billion, two hundred fifteen million, eight hundred twenty-two thousand, four hundred".