4198131504 has 400 divisors, whose sum is σ = 14882047488. Its totient is φ = 1115265024.

The previous prime is 4198131499. The next prime is 4198131547. The reversal of 4198131504 is 4051318914.

4198131504 is a `hidden beast` number, since 4 + 19 + 8 + 131 + 504 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25138429 + ... + 25138595.

Almost surely, 2^4198131504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198131504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441023744).

4198131504 is an abundant number, since it is smaller than the sum of its proper divisors (10683915984).

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

4198131504 is a wasteful number, since it uses less digits than its factorization.

4198131504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

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

The square root of 4198131504 is about 64792.9896207915. The cubic root of 4198131504 is about 1613.1893498230.

The spelling of 4198131504 in words is "four billion, one hundred ninety-eight million, one hundred thirty-one thousand, five hundred four".