4102292416320 has 672 divisors, whose sum is σ = 17289905821440. Its totient is φ = 896891719680.

The previous prime is 4102292416267. The next prime is 4102292416337. The reversal of 4102292416320 is 236142922014.

It is a happy number.

4102292416320 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 292 + 41 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 31929810 + ... + 32058030.

It is an arithmetic number, because the mean of its divisors is an integer number (25729026520).

Almost surely, 2^{4102292416320} is an apocalyptic number.

4102292416320 is a gapful number since it is divisible by the number (40) 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 4102292416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8644952910720).

4102292416320 is an abundant number, since it is smaller than the sum of its proper divisors (13187613405120).

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

4102292416320 is a wasteful number, since it uses less digits than its factorization.

4102292416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128300 (or 128261 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4102292416320 in words is "four trillion, one hundred two billion, two hundred ninety-two million, four hundred sixteen thousand, three hundred twenty".