8142446004 has 384 divisors, whose sum is σ = 26336378880. Its totient is φ = 1893580800.

The previous prime is 8142445979. The next prime is 8142446017. The reversal of 8142446004 is 4006442418.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30269182 + ... + 30269450.

It is an arithmetic number, because the mean of its divisors is an integer number (68584320).

Almost surely, 2^8142446004 is an apocalyptic number.

8142446004 is a gapful number since it is divisible by the number (84) 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 8142446004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13168189440).

8142446004 is an abundant number, since it is smaller than the sum of its proper divisors (18193932876).

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

8142446004 is a wasteful number, since it uses less digits than its factorization.

8142446004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 8142446004 is about 90235.5030129494. The cubic root of 8142446004 is about 2011.8007347185.

The spelling of 8142446004 in words is "eight billion, one hundred forty-two million, four hundred forty-six thousand, four".