4102054000 has 160 divisors (see below), whose sum is σ = 10907462592. Its totient is φ = 1479680000.

The previous prime is 4102053953. The next prime is 4102054009. The reversal of 4102054000 is 4502014.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102054009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3013320 + ... + 3014680.

Almost surely, 2^4102054000 is an apocalyptic number.

4102054000 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 4102054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453731296).

4102054000 is an abundant number, since it is smaller than the sum of its proper divisors (6805408592).

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

4102054000 is a wasteful number, since it uses less digits than its factorization.

4102054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4102054000 is about 64047.2794113848. The cubic root of 4102054000 is about 1600.7878932015.

Adding to 4102054000 its reverse (4502014), we get a palindrome (4106556014).

The spelling of 4102054000 in words is "four billion, one hundred two million, fifty-four thousand".