4001994029376 has 896 divisors, whose sum is σ = 14420307456000. Its totient is φ = 1076297932800.

The previous prime is 4001994029359. The next prime is 4001994029419. The reversal of 4001994029376 is 6739204991004.

4001994029376 is a `hidden beast` number, since 40 + 0 + 199 + 40 + 2 + 9 + 376 = 666.

4001994029376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4001994029376² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3332217576 + ... + 3332218776.

Almost surely, 2^{4001994029376} 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 4001994029376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210153728000).

4001994029376 is an abundant number, since it is smaller than the sum of its proper divisors (10418313426624).

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

4001994029376 is a wasteful number, since it uses less digits than its factorization.

4001994029376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 4001994029376 in words is "four trillion, one billion, nine hundred ninety-four million, twenty-nine thousand, three hundred seventy-six".