4156132423680 has 576 divisors, whose sum is σ = 14877555638400. Its totient is φ = 1072433725440.

The previous prime is 4156132423679. The next prime is 4156132423697. The reversal of 4156132423680 is 863242316514.

4156132423680 is a `hidden beast` number, since 4 + 1 + 5 + 613 + 2 + 4 + 23 + 6 + 8 + 0 = 666.

4156132423680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 385499890 + ... + 385510670.

It is an arithmetic number, because the mean of its divisors is an integer number (25829089650).

Almost surely, 2^{4156132423680} is an apocalyptic number.

4156132423680 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 4156132423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438777819200).

4156132423680 is an abundant number, since it is smaller than the sum of its proper divisors (10721423214720).

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

4156132423680 is a wasteful number, since it uses less digits than its factorization.

4156132423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10950 (or 10927 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4156132423680 in words is "four trillion, one hundred fifty-six billion, one hundred thirty-two million, four hundred twenty-three thousand, six hundred eighty".