416042387383392 has 1152 divisors, whose sum is σ = 1552999827456000. Its totient is φ = 107146097049600.

The previous prime is 416042387383391. The next prime is 416042387383409. The reversal of 416042387383392 is 293383783240614.

416042387383392 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 4 + 238 + 7 + 3 + 8 + 3 + 392 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416042387383391) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 41147496417 + ... + 41147506527.

It is an arithmetic number, because the mean of its divisors is an integer number (1348090128000).

Almost surely, 2^{416042387383392} is an apocalyptic number.

416042387383392 is a gapful number since it is divisible by the number (42) 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 416042387383392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776499913728000).

416042387383392 is an abundant number, since it is smaller than the sum of its proper divisors (1136957440072608).

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

416042387383392 is a wasteful number, since it uses less digits than its factorization.

416042387383392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10897 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 416042387383392 in words is "four hundred sixteen trillion, forty-two billion, three hundred eighty-seven million, three hundred eighty-three thousand, three hundred ninety-two".