4189557198400 has 1344 divisors, whose sum is σ = 13352288256000. Its totient is φ = 1262009548800.

The previous prime is 4189557198389. The next prime is 4189557198461. The reversal of 4189557198400 is 48917559814.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18295009486 + ... + 18295009714.

Almost surely, 2^{4189557198400} is an apocalyptic number.

4189557198400 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 4189557198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676144128000).

4189557198400 is an abundant number, since it is smaller than the sum of its proper divisors (9162731057600).

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

4189557198400 is a wasteful number, since it uses less digits than its factorization.

4189557198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 61.

The spelling of 4189557198400 in words is "four trillion, one hundred eighty-nine billion, five hundred fifty-seven million, one hundred ninety-eight thousand, four hundred".