4147406045000 has 160 divisors (see below), whose sum is σ = 9990454624920. Its totient is φ = 1612634880000.

The previous prime is 4147406044981. The next prime is 4147406045033. The reversal of 4147406045000 is 5406047414.

It can be written as a sum of positive squares in 20 ways, for example, as 2303127971236 + 1844278073764 = 1517606^2 + 1358042^2 .

It is a super-4 number, since 4×4147406045000⁴ (a number of 52 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56748482 + ... + 56821518.

Almost surely, 2^{4147406045000} is an apocalyptic number.

4147406045000 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 4147406045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995227312460).

4147406045000 is an abundant number, since it is smaller than the sum of its proper divisors (5843048579920).

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

4147406045000 is a wasteful number, since it uses less digits than its factorization.

4147406045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73381 (or 73362 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 4147406045000 in words is "four trillion, one hundred forty-seven billion, four hundred six million, forty-five thousand".