402082724496096 has 288 divisors, whose sum is σ = 1348976589262848. Its totient is φ = 111170504540160.

The previous prime is 402082724496077. The next prime is 402082724496149. The reversal of 402082724496096 is 690694427280204.

402082724496096 is a `hidden beast` number, since 4 + 0 + 20 + 8 + 27 + 2 + 449 + 60 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755835621 + ... + 1756064603.

It is an arithmetic number, because the mean of its divisors is an integer number (4683946490496).

Almost surely, 2^{402082724496096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402082724496096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674488294631424).

402082724496096 is an abundant number, since it is smaller than the sum of its proper divisors (946893864766752).

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

402082724496096 is a wasteful number, since it uses less digits than its factorization.

402082724496096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257134 (or 257123 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 402082724496096 in words is "four hundred two trillion, eighty-two billion, seven hundred twenty-four million, four hundred ninety-six thousand, ninety-six".