8042383440 has 480 divisors, whose sum is σ = 33531353856. Its totient is φ = 1682104320.

The previous prime is 8042383429. The next prime is 8042383457. The reversal of 8042383440 is 443832408.

8042383440 is a `hidden beast` number, since 80 + 4 + 238 + 344 + 0 = 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 = 8042383395 and 8042383404.

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, 8582652 + ... + 8583588.

Almost surely, 2^8042383440 is an apocalyptic number.

8042383440 is a gapful number since it is divisible by the number (80) 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 8042383440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765676928).

8042383440 is an abundant number, since it is smaller than the sum of its proper divisors (25488970416).

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

8042383440 is a wasteful number, since it uses less digits than its factorization.

8042383440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 8042383440 is about 89679.3367504466. The cubic root of 8042383440 is about 2003.5257342799.

The spelling of 8042383440 in words is "eight billion, forty-two million, three hundred eighty-three thousand, four hundred forty".