4159141512480 has 480 divisors, whose sum is σ = 14967658778688. Its totient is φ = 1087275571200.

The previous prime is 4159141512469. The next prime is 4159141512509. The reversal of 4159141512480 is 842151419514.

4159141512480 is a `hidden beast` number, since 4 + 1 + 5 + 9 + 14 + 151 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 1381314175 + ... + 1381317185.

Almost surely, 2^{4159141512480} is an apocalyptic number.

4159141512480 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 4159141512480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483829389344).

4159141512480 is an abundant number, since it is smaller than the sum of its proper divisors (10808517266208).

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

4159141512480 is a wasteful number, since it uses less digits than its factorization.

4159141512480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 4159141512480 in words is "four trillion, one hundred fifty-nine billion, one hundred forty-one million, five hundred twelve thousand, four hundred eighty".