4034390943744 has 432 divisors, whose sum is σ = 13579912906560. Its totient is φ = 1150517329920.

The previous prime is 4034390943743. The next prime is 4034390943767. The reversal of 4034390943744 is 4473490934304.

4034390943744 is a `hidden beast` number, since 40 + 3 + 43 + 90 + 9 + 437 + 44 = 666.

It is a super-3 number, since 3×4034390943744³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4034390943743) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 515705017 + ... + 515712839.

It is an arithmetic number, because the mean of its divisors is an integer number (31434983580).

Almost surely, 2^{4034390943744} 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 4034390943744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789956453280).

4034390943744 is an abundant number, since it is smaller than the sum of its proper divisors (9545521962816).

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

4034390943744 is a wasteful number, since it uses less digits than its factorization.

4034390943744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8436 (or 8406 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 4034390943744 in words is "four trillion, thirty-four billion, three hundred ninety million, nine hundred forty-three thousand, seven hundred forty-four".