4284376943040 has 1344 divisors, whose sum is σ = 16736241254400. Its totient is φ = 1028094197760.

The previous prime is 4284376943029. The next prime is 4284376943047. The reversal of 4284376943040 is 403496734824.

4284376943040 is a `hidden beast` number, since 4 + 2 + 84 + 37 + 69 + 430 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284376943047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17926263241 + ... + 17926263479.

Almost surely, 2^{4284376943040} is an apocalyptic number.

4284376943040 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 4284376943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8368120627200).

4284376943040 is an abundant number, since it is smaller than the sum of its proper divisors (12451864311360).

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

4284376943040 is a wasteful number, since it uses less digits than its factorization.

4284376943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 4284376943040 in words is "four trillion, two hundred eighty-four billion, three hundred seventy-six million, nine hundred forty-three thousand, forty".