4190232402720 has 576 divisors, whose sum is σ = 17632914534144. Its totient is φ = 882388131840.

The previous prime is 4190232402649. The next prime is 4190232402737. The reversal of 4190232402720 is 272042320914.

It is a happy number.

4190232402720 is a `hidden beast` number, since 4 + 19 + 0 + 232 + 402 + 7 + 2 + 0 = 666.

4190232402720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 68503350 + ... + 68564490.

It is an arithmetic number, because the mean of its divisors is an integer number (30612698844).

Almost surely, 2^{4190232402720} is an apocalyptic number.

4190232402720 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 4190232402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8816457267072).

4190232402720 is an abundant number, since it is smaller than the sum of its proper divisors (13442682131424).

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

4190232402720 is a wasteful number, since it uses less digits than its factorization.

4190232402720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61705 (or 61694 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 4190232402720 in words is "four trillion, one hundred ninety billion, two hundred thirty-two million, four hundred two thousand, seven hundred twenty".