84419840913408 has 3744 divisors, whose sum is σ = 349815913941312. Its totient is φ = 19423706480640.

The previous prime is 84419840913379. The next prime is 84419840913427. The reversal of 84419840913408 is 80431904891448.

84419840913408 is a `hidden beast` number, since 8 + 4 + 4 + 1 + 98 + 409 + 134 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1156436176860 + ... + 1156436176932.

It is an arithmetic number, because the mean of its divisors is an integer number (93433737698).

Almost surely, 2^{84419840913408} is an apocalyptic number.

84419840913408 is a gapful number since it is divisible by the number (88) 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 84419840913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174907956970656).

84419840913408 is an abundant number, since it is smaller than the sum of its proper divisors (265396073027904).

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

84419840913408 is a wasteful number, since it uses less digits than its factorization.

84419840913408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 84419840913408 in words is "eighty-four trillion, four hundred nineteen billion, eight hundred forty million, nine hundred thirteen thousand, four hundred eight".