4034135040000 has 1120 divisors, whose sum is σ = 14703131741760. Its totient is φ = 977534976000.

The previous prime is 4034135039981. The next prime is 4034135040037. The reversal of 4034135040000 is 405314304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17771519887 + ... + 17771520113.

It is an arithmetic number, because the mean of its divisors is an integer number (13127796198).

Almost surely, 2^{4034135040000} is an apocalyptic number.

4034135040000 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 4034135040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351565870880).

4034135040000 is an abundant number, since it is smaller than the sum of its proper divisors (10668996701760).

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

4034135040000 is an equidigital number, since it uses as much as digits as its factorization.

4034135040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 4034135040000 in words is "four trillion, thirty-four billion, one hundred thirty-five million, forty thousand".