4019672832 has 576 divisors, whose sum is σ = 14128128000. Its totient is φ = 987807744.

The previous prime is 4019672821. The next prime is 4019672849. The reversal of 4019672832 is 2382769104.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 68130019 + ... + 68130077.

It is an arithmetic number, because the mean of its divisors is an integer number (24528000).

Almost surely, 2^4019672832 is an apocalyptic number.

4019672832 is a gapful number since it is divisible by the number (42) 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 4019672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064064000).

4019672832 is an abundant number, since it is smaller than the sum of its proper divisors (10108455168).

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

4019672832 is a wasteful number, since it uses less digits than its factorization.

4019672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4019672832 is about 63400.8898360267. The cubic root of 4019672832 is about 1589.9991867406. Note that the first 3 decimals are identical.

The spelling of 4019672832 in words is "four billion, nineteen million, six hundred seventy-two thousand, eight hundred thirty-two".