4198332640 has 48 divisors (see below), whose sum is σ = 9924722640. Its totient is φ = 1678289920.

The previous prime is 4198332559. The next prime is 4198332647. The reversal of 4198332640 is 462338914.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4198332593 and 4198332602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198332647) 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, 282516 + ... + 297004.

It is an arithmetic number, because the mean of its divisors is an integer number (206765055).

Almost surely, 2^4198332640 is an apocalyptic number.

4198332640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4198332640 is an abundant number, since it is smaller than the sum of its proper divisors (5726390000).

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

4198332640 is a wasteful number, since it uses less digits than its factorization.

4198332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16315 (or 16307 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 4198332640 is about 64794.5417454279. The cubic root of 4198332640 is about 1613.2151124963.

4198332640 divided by its sum of digits (40) gives a triangular number (104958316 = T₁₄₄₈₈).

The spelling of 4198332640 in words is "four billion, one hundred ninety-eight million, three hundred thirty-two thousand, six hundred forty".