4023971677440 has 864 divisors, whose sum is σ = 17318799703296. Its totient is φ = 847494512640.

The previous prime is 4023971677403. The next prime is 4023971677469. The reversal of 4023971677440 is 447761793204.

It is a happy number.

4023971677440 is a `hidden beast` number, since 4 + 0 + 2 + 39 + 7 + 167 + 7 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27933277 + ... + 28076963.

It is an arithmetic number, because the mean of its divisors is an integer number (20044907064).

Almost surely, 2^{4023971677440} is an apocalyptic number.

4023971677440 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 4023971677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8659399851648).

4023971677440 is an abundant number, since it is smaller than the sum of its proper divisors (13294828025856).

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

4023971677440 is a wasteful number, since it uses less digits than its factorization.

4023971677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143755 (or 143738 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 4023971677440 in words is "four trillion, twenty-three billion, nine hundred seventy-one million, six hundred seventy-seven thousand, four hundred forty".