84012394199040 has 1152 divisors, whose sum is σ = 327160511758080. Its totient is φ = 20594658115584.

The previous prime is 84012394199009. The next prime is 84012394199081. The reversal of 84012394199040 is 4099149321048.

84012394199040 is a `hidden beast` number, since 8 + 401 + 2 + 3 + 9 + 4 + 199 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1818938827 + ... + 1818985013.

It is an arithmetic number, because the mean of its divisors is an integer number (283993499790).

Almost surely, 2^{84012394199040} is an apocalyptic number.

84012394199040 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 84012394199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163580255879040).

84012394199040 is an abundant number, since it is smaller than the sum of its proper divisors (243148117559040).

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

84012394199040 is a wasteful number, since it uses less digits than its factorization.

84012394199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46289 (or 46257 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 84012394199040 in words is "eighty-four trillion, twelve billion, three hundred ninety-four million, one hundred ninety-nine thousand, forty".