4145980673700 has 216 divisors, whose sum is σ = 13762421461152. Its totient is φ = 1040359971840.

The previous prime is 4145980673689. The next prime is 4145980673777. The reversal of 4145980673700 is 73760895414.

4145980673700 is a `hidden beast` number, since 4 + 14 + 598 + 0 + 6 + 7 + 37 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89742007 + ... + 89788193.

It is an arithmetic number, because the mean of its divisors is an integer number (63714914172).

Almost surely, 2^{4145980673700} 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 4145980673700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881210730576).

4145980673700 is an abundant number, since it is smaller than the sum of its proper divisors (9616440787452).

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

4145980673700 is a wasteful number, since it uses less digits than its factorization.

4145980673700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52091 (or 52081 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4145980673700 in words is "four trillion, one hundred forty-five billion, nine hundred eighty million, six hundred seventy-three thousand, seven hundred".