4102053389280 has 3456 divisors, whose sum is σ = 19515256750080. Its totient is φ = 765429350400.

The previous prime is 4102053389261. The next prime is 4102053389339. The reversal of 4102053389280 is 829833502014.

4102053389280 is a `hidden beast` number, since 4 + 1 + 0 + 20 + 533 + 8 + 92 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 46090487476 + ... + 46090487564.

It is an arithmetic number, because the mean of its divisors is an integer number (5646775680).

Almost surely, 2^{4102053389280} is an apocalyptic number.

4102053389280 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 4102053389280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757628375040).

4102053389280 is an abundant number, since it is smaller than the sum of its proper divisors (15413203360800).

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

4102053389280 is a wasteful number, since it uses less digits than its factorization.

4102053389280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4102053389280 in words is "four trillion, one hundred two billion, fifty-three million, three hundred eighty-nine thousand, two hundred eighty".