4134816251904 has 544 divisors, whose sum is σ = 12732098529024. Its totient is φ = 1183422873600.

The previous prime is 4134816251903. The next prime is 4134816251959. The reversal of 4134816251904 is 4091526184314.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4134816251903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2175073354 + ... + 2175075254.

Almost surely, 2^{4134816251904} 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 4134816251904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366049264512).

4134816251904 is an abundant number, since it is smaller than the sum of its proper divisors (8597282277120).

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

4134816251904 is a wasteful number, since it uses less digits than its factorization.

4134816251904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 4134816251904 in words is "four trillion, one hundred thirty-four billion, eight hundred sixteen million, two hundred fifty-one thousand, nine hundred four".