4199869440 has 880 divisors, whose sum is σ = 17476794720. Its totient is φ = 955514880.

The previous prime is 4199869439. The next prime is 4199869451. The reversal of 4199869440 is 449689914.

It is a happy number.

4199869440 is a `hidden beast` number, since 4 + 199 + 8 + 6 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102435820 + ... + 102435860.

It is an arithmetic number, because the mean of its divisors is an integer number (19859994).

Almost surely, 2^4199869440 is an apocalyptic number.

4199869440 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 4199869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738397360).

4199869440 is an abundant number, since it is smaller than the sum of its proper divisors (13276925280).

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

4199869440 is a wasteful number, since it uses less digits than its factorization.

4199869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 4199869440 is about 64806.3996839818. The cubic root of 4199869440 is about 1613.4119276573.

The spelling of 4199869440 in words is "four billion, one hundred ninety-nine million, eight hundred sixty-nine thousand, four hundred forty".