4146307011072 has 320 divisors, whose sum is σ = 13008592396800. Its totient is φ = 1299473694720.

The previous prime is 4146307011059. The next prime is 4146307011097. The reversal of 4146307011072 is 2701107036414.

4146307011072 is a `hidden beast` number, since 4 + 1 + 4 + 630 + 7 + 0 + 1 + 10 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244164822 + ... + 244181802.

It is an arithmetic number, because the mean of its divisors is an integer number (40651851240).

Almost surely, 2^{4146307011072} 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 4146307011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504296198400).

4146307011072 is an abundant number, since it is smaller than the sum of its proper divisors (8862285385728).

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

4146307011072 is a wasteful number, since it uses less digits than its factorization.

4146307011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18064 (or 18042 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 4146307011072 in words is "four trillion, one hundred forty-six billion, three hundred seven million, eleven thousand, seventy-two".