4192231680 has 1152 divisors, whose sum is σ = 19339837440. Its totient is φ = 836075520.

The previous prime is 4192231639. The next prime is 4192231691. The reversal of 4192231680 is 861322914.

4192231680 is a `hidden beast` number, since 419 + 2 + 231 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97493739 + ... + 97493781.

Almost surely, 2^4192231680 is an apocalyptic number.

4192231680 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 4192231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669918720).

4192231680 is an abundant number, since it is smaller than the sum of its proper divisors (15147605760).

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

4192231680 is a wasteful number, since it uses less digits than its factorization.

4192231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4192231680 is about 64747.4453550100. The cubic root of 4192231680 is about 1612.4332995666.

It can be divided in two parts, 419223 and 1680, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 4192231680 in words is "four billion, one hundred ninety-two million, two hundred thirty-one thousand, six hundred eighty".