4100080420800 has 1680 divisors, whose sum is σ = 18652636710400. Its totient is φ = 860232130560.

The previous prime is 4100080420763. The next prime is 4100080420811. The reversal of 4100080420800 is 80240800014.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2346925527 + ... + 2346927273.

Almost surely, 2^{4100080420800} is an apocalyptic number.

4100080420800 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 4100080420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9326318355200).

4100080420800 is an abundant number, since it is smaller than the sum of its proper divisors (14552556289600).

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

4100080420800 is a wasteful number, since it uses less digits than its factorization.

4100080420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 4100080420800 in words is "four trillion, one hundred billion, eighty million, four hundred twenty thousand, eight hundred".