84161406000 has 320 divisors, whose sum is σ = 317317118976. Its totient is φ = 18789120000.

The previous prime is 84161405921. The next prime is 84161406001. The reversal of 84161406000 is 60416148.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (84161406001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1782700 + ... + 1829300.

Almost surely, 2^84161406000 is an apocalyptic number.

84161406000 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 84161406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158658559488).

84161406000 is an abundant number, since it is smaller than the sum of its proper divisors (233155712976).

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

84161406000 is a wasteful number, since it uses less digits than its factorization.

84161406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46677 (or 46661 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 84161406000 in words is "eighty-four billion, one hundred sixty-one million, four hundred six thousand".