4145271332790 has 256 divisors, whose sum is σ = 12416532480000. Its totient is φ = 864296801280.

The previous prime is 4145271332789. The next prime is 4145271332831. The reversal of 4145271332790 is 972331725414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24530106 + ... + 24698514.

It is an arithmetic number, because the mean of its divisors is an integer number (48502080000).

Almost surely, 2^{4145271332790} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145271332790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208266240000).

4145271332790 is an abundant number, since it is smaller than the sum of its proper divisors (8271261147210).

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

4145271332790 is a wasteful number, since it uses less digits than its factorization.

4145271332790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168675.

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 4145271332790 in words is "four trillion, one hundred forty-five billion, two hundred seventy-one million, three hundred thirty-two thousand, seven hundred ninety".