4134038400000 has 1188 divisors, whose sum is σ = 15768503032464. Its totient is φ = 1041131520000.

The previous prime is 4134038399993. The next prime is 4134038400031. The reversal of 4134038400000 is 48304314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 52329599961 + ... + 52329600039.

Almost surely, 2^{4134038400000} is an apocalyptic number.

4134038400000 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 4134038400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884251516232).

4134038400000 is an abundant number, since it is smaller than the sum of its proper divisors (11634464632464).

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

4134038400000 is an frugal number, since it uses more digits than its factorization.

4134038400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 4134038400000 in words is "four trillion, one hundred thirty-four billion, thirty-eight million, four hundred thousand".