4142132190720 has 320 divisors, whose sum is σ = 14798288831040. Its totient is φ = 1098180624384.

The previous prime is 4142132190719. The next prime is 4142132190727. The reversal of 4142132190720 is 270912312414.

4142132190720 is a `hidden beast` number, since 41 + 421 + 3 + 2 + 190 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142132190727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11784562 + ... + 12130958.

It is an arithmetic number, because the mean of its divisors is an integer number (46244652597).

Almost surely, 2^{4142132190720} is an apocalyptic number.

4142132190720 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 4142132190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399144415520).

4142132190720 is an abundant number, since it is smaller than the sum of its proper divisors (10656156640320).

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

4142132190720 is a wasteful number, since it uses less digits than its factorization.

4142132190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346602 (or 346580 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 4142132190720 in words is "four trillion, one hundred forty-two billion, one hundred thirty-two million, one hundred ninety thousand, seven hundred twenty".