4023438293376 has 448 divisors, whose sum is σ = 12564275984640. Its totient is φ = 1280371276800.

The previous prime is 4023438293351. The next prime is 4023438293393. The reversal of 4023438293376 is 6733928343204.

4023438293376 is a `hidden beast` number, since 4 + 0 + 2 + 343 + 8 + 293 + 3 + 7 + 6 = 666.

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

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1354235571 + ... + 1354238541.

Almost surely, 2^{4023438293376} is an apocalyptic number.

4023438293376 is a gapful number since it is divisible by the number (46) 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 4023438293376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282137992320).

4023438293376 is an abundant number, since it is smaller than the sum of its proper divisors (8540837691264).

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

4023438293376 is an equidigital number, since it uses as much as digits as its factorization.

4023438293376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3630 counting only the distinct ones).

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

The spelling of 4023438293376 in words is "four trillion, twenty-three billion, four hundred thirty-eight million, two hundred ninety-three thousand, three hundred seventy-six".