4102465689900 has 576 divisors, whose sum is σ = 14033421803520. Its totient is φ = 1026587520000.

The previous prime is 4102465689899. The next prime is 4102465689911. The reversal of 4102465689900 is 99865642014.

4102465689900 is a `hidden beast` number, since 4 + 10 + 2 + 465 + 6 + 89 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362499042 + ... + 362510358.

It is an arithmetic number, because the mean of its divisors is an integer number (24363579520).

Almost surely, 2^{4102465689900} 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 4102465689900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016710901760).

4102465689900 is an abundant number, since it is smaller than the sum of its proper divisors (9930956113620).

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

4102465689900 is a wasteful number, since it uses less digits than its factorization.

4102465689900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11503 (or 11490 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 4102465689900 in words is "four trillion, one hundred two billion, four hundred sixty-five million, six hundred eighty-nine thousand, nine hundred".