4034396160000 has 1150 divisors, whose sum is σ = 15854635002140. Its totient is φ = 1019215872000.

The previous prime is 4034396159951. The next prime is 4034396160001. The reversal of 4034396160000 is 616934304.

4034396160000 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 39 + 616 + 0 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4034396160001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 212336639991 + ... + 212336640009.

Almost surely, 2^{4034396160000} is an apocalyptic number.

4034396160000 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 4034396160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927317501070).

4034396160000 is an abundant number, since it is smaller than the sum of its proper divisors (11820238842140).

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

4034396160000 is an frugal number, since it uses more digits than its factorization.

4034396160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 4034396160000 in words is "four trillion, thirty-four billion, three hundred ninety-six million, one hundred sixty thousand".