4182087070980 has 576 divisors, whose sum is σ = 16568008224768. Its totient is φ = 861850160640.

The previous prime is 4182087070963. The next prime is 4182087070981. The reversal of 4182087070980 is 890707802814.

It is a happy number.

4182087070980 is a `hidden beast` number, since 418 + 2 + 0 + 8 + 70 + 70 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4182087070981) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18907225 + ... + 19127135.

It is an arithmetic number, because the mean of its divisors is an integer number (28763903168).

Almost surely, 2^{4182087070980} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4182087070980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8284004112384).

4182087070980 is an abundant number, since it is smaller than the sum of its proper divisors (12385921153788).

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

4182087070980 is a wasteful number, since it uses less digits than its factorization.

4182087070980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219998 (or 219984 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 4182087070980 in words is "four trillion, one hundred eighty-two billion, eighty-seven million, seventy thousand, nine hundred eighty".