84482784142400 has 84 divisors (see below), whose sum is σ = 237577658009088. Its totient is φ = 28965525987840.

The previous prime is 84482784142397. The next prime is 84482784142409. The reversal of 84482784142400 is 424148728448.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (84482784142409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3771541664 + ... + 3771564063.

Almost surely, 2^{84482784142400} is an apocalyptic number.

84482784142400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84482784142400 is an abundant number, since it is smaller than the sum of its proper divisors (153094873866688).

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

84482784142400 is a wasteful number, since it uses less digits than its factorization.

84482784142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7543105756 (or 7543105741 counting only the distinct ones).

The product of its (nonzero) digits is 14680064, while the sum is 56.

The spelling of 84482784142400 in words is "eighty-four trillion, four hundred eighty-two billion, seven hundred eighty-four million, one hundred forty-two thousand, four hundred".