4189812480 has 720 divisors, whose sum is σ = 17949786624. Its totient is φ = 912384000.

The previous prime is 4189812467. The next prime is 4189812541. The reversal of 4189812480 is 842189814.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 16692355 + ... + 16692605.

Almost surely, 2^4189812480 is an apocalyptic number.

4189812480 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 4189812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8974893312).

4189812480 is an abundant number, since it is smaller than the sum of its proper divisors (13759974144).

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

4189812480 is a wasteful number, since it uses less digits than its factorization.

4189812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 4189812480 is about 64728.7608409121. The cubic root of 4189812480 is about 1612.1230790192.

The spelling of 4189812480 in words is "four billion, one hundred eighty-nine million, eight hundred twelve thousand, four hundred eighty".