4101007078080 has 1344 divisors, whose sum is σ = 16398885444480. Its totient is φ = 963477504000.

The previous prime is 4101007078073. The next prime is 4101007078093. The reversal of 4101007078080 is 808707001014.

4101007078080 is a `hidden beast` number, since 410 + 100 + 70 + 78 + 0 + 8 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 10329992442 + ... + 10329992838.

It is an arithmetic number, because the mean of its divisors is an integer number (12201551670).

Almost surely, 2^{4101007078080} is an apocalyptic number.

4101007078080 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 4101007078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199442722240).

4101007078080 is an abundant number, since it is smaller than the sum of its proper divisors (12297878366400).

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

4101007078080 is a wasteful number, since it uses less digits than its factorization.

4101007078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 4101007078080 in words is "four trillion, one hundred one billion, seven million, seventy-eight thousand, eighty".