402242240042016 has 384 divisors, whose sum is σ = 1184635398481920. Its totient is φ = 118476081561600.

The previous prime is 402242240042009. The next prime is 402242240042021. The reversal of 402242240042016 is 610240042242204.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4117615125 + ... + 4117712811.

It is an arithmetic number, because the mean of its divisors is an integer number (3084988016880).

Almost surely, 2^{402242240042016} 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 402242240042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592317699240960).

402242240042016 is an abundant number, since it is smaller than the sum of its proper divisors (782393158439904).

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

402242240042016 is a wasteful number, since it uses less digits than its factorization.

402242240042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98528 (or 98520 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 402242240042016 in words is "four hundred two trillion, two hundred forty-two billion, two hundred forty million, forty-two thousand, sixteen".