4198057440 has 96 divisors (see below), whose sum is σ = 13325026176. Its totient is φ = 1110919680.

The previous prime is 4198057439. The next prime is 4198057483. The reversal of 4198057440 is 447508914.

4198057440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4198057392 and 4198057401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29499 + ... + 96261.

It is an arithmetic number, because the mean of its divisors is an integer number (138802356).

Almost surely, 2^4198057440 is an apocalyptic number.

4198057440 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 4198057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662513088).

4198057440 is an abundant number, since it is smaller than the sum of its proper divisors (9126968736).

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

4198057440 is a wasteful number, since it uses less digits than its factorization.

4198057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66912 (or 66904 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 4198057440 is about 64792.4180749569. The cubic root of 4198057440 is about 1613.1798630661.

The spelling of 4198057440 in words is "four billion, one hundred ninety-eight million, fifty-seven thousand, four hundred forty".