4080671040000 has 1600 divisors, whose sum is σ = 15241913026560. Its totient is φ = 965099520000.

The previous prime is 4080671039999. The next prime is 4080671040001. The reversal of 4080671040000 is 401760804.

It is an interprime number because it is at equal distance from previous prime (4080671039999) and next prime (4080671040001).

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×4080671040000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4080671040000.

It is not an unprimeable number, because it can be changed into a prime (4080671040001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29785919932 + ... + 29785920068.

Almost surely, 2^{4080671040000} is an apocalyptic number.

4080671040000 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 4080671040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620956513280).

4080671040000 is an abundant number, since it is smaller than the sum of its proper divisors (11161241986560).

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

4080671040000 is a wasteful number, since it uses less digits than its factorization.

4080671040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 4080671040000 in words is "four trillion, eighty billion, six hundred seventy-one million, forty thousand".