8042063400 has 384 divisors, whose sum is σ = 32683622400. Its totient is φ = 1778630400.

The previous prime is 8042063383. The next prime is 8042063437. The reversal of 8042063400 is 43602408.

8042063400 is a `hidden beast` number, since 8 + 0 + 4 + 20 + 634 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1168369 + ... + 1175231.

It is an arithmetic number, because the mean of its divisors is an integer number (85113600).

Almost surely, 2^8042063400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8042063400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16341811200).

8042063400 is an abundant number, since it is smaller than the sum of its proper divisors (24641559000).

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

8042063400 is a wasteful number, since it uses less digits than its factorization.

8042063400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6926 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8042063400 is about 89677.5523751624. The cubic root of 8042063400 is about 2003.4991577107.

Adding to 8042063400 its reverse (43602408), we get a palindrome (8085665808).

The spelling of 8042063400 in words is "eight billion, forty-two million, sixty-three thousand, four hundred".