84012101366400 has 864 divisors, whose sum is σ = 316872437749920. Its totient is φ = 21191243673600.

The previous prime is 84012101366371. The next prime is 84012101366411. The reversal of 84012101366400 is 466310121048.

84012101366400 is a `hidden beast` number, since 8 + 4 + 0 + 1 + 2 + 1 + 0 + 1 + 3 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7101008485 + ... + 7101020315.

It is an arithmetic number, because the mean of its divisors is an integer number (366750506655).

Almost surely, 2^{84012101366400} is an apocalyptic number.

84012101366400 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 84012101366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158436218874960).

84012101366400 is an abundant number, since it is smaller than the sum of its proper divisors (232860336383520).

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

84012101366400 is a wasteful number, since it uses less digits than its factorization.

84012101366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12582 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 84012101366400 its reverse (466310121048), we get a palindrome (84478411487448).

The spelling of 84012101366400 in words is "eighty-four trillion, twelve billion, one hundred one million, three hundred sixty-six thousand, four hundred".