4023165421440 has 512 divisors, whose sum is σ = 15554797632000. Its totient is φ = 974638448640.

The previous prime is 4023165421417. The next prime is 4023165421453. The reversal of 4023165421440 is 441245613204.

4023165421440 is a `hidden beast` number, since 40 + 2 + 31 + 6 + 542 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4023165421395 and 4023165421404.

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 63 ways as a sum of consecutive naturals, for example, 309253656 + ... + 309266664.

It is an arithmetic number, because the mean of its divisors is an integer number (30380464125).

Almost surely, 2^{4023165421440} is an apocalyptic number.

4023165421440 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 4023165421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777398816000).

4023165421440 is an abundant number, since it is smaller than the sum of its proper divisors (11531632210560).

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

4023165421440 is a wasteful number, since it uses less digits than its factorization.

4023165421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14675 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4023165421440 in words is "four trillion, twenty-three billion, one hundred sixty-five million, four hundred twenty-one thousand, four hundred forty".