4198815408 has 40 divisors (see below), whose sum is σ = 10849448448. Its totient is φ = 1399281472.

The previous prime is 4198815349. The next prime is 4198815409. The reversal of 4198815408 is 8045188914.

4198815408 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 super-3 number, since 3×4198815408³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4198815409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293641 + ... + 307607.

Almost surely, 2^4198815408 is an apocalyptic number.

4198815408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4198815408 is an abundant number, since it is smaller than the sum of its proper divisors (6650633040).

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

4198815408 is a wasteful number, since it uses less digits than its factorization.

4198815408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20241 (or 20235 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The square root of 4198815408 is about 64798.2670138639. The cubic root of 4198815408 is about 1613.2769448831.

The spelling of 4198815408 in words is "four billion, one hundred ninety-eight million, eight hundred fifteen thousand, four hundred eight".