4151030198400 has 1152 divisors, whose sum is σ = 16264559001600. Its totient is φ = 1042481664000.

The previous prime is 4151030198339. The next prime is 4151030198417. The reversal of 4151030198400 is 48910301514.

4151030198400 is a `hidden beast` number, since 415 + 10 + 3 + 0 + 198 + 40 + 0 = 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 (36).

It is an unprimeable number.

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, 2821909665 + ... + 2821911135.

It is an arithmetic number, because the mean of its divisors is an integer number (14118540800).

Almost surely, 2^{4151030198400} is an apocalyptic number.

4151030198400 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 4151030198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132279500800).

4151030198400 is an abundant number, since it is smaller than the sum of its proper divisors (12113528803200).

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

4151030198400 is a wasteful number, since it uses less digits than its factorization.

4151030198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 4151030198400 its reverse (48910301514), we get a palindrome (4199940499914).

The spelling of 4151030198400 in words is "four trillion, one hundred fifty-one billion, thirty million, one hundred ninety-eight thousand, four hundred".