4054050000 has 1200 divisors, whose sum is σ = 19691489664. Its totient is φ = 777600000.

The previous prime is 4054049999. The next prime is 4054050047. The reversal of 4054050000 is 504504.

It is a happy number.

4054050000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 311849994 + ... + 311850006.

Almost surely, 2^4054050000 is an apocalyptic number.

4054050000 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 4054050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845744832).

4054050000 is an abundant number, since it is smaller than the sum of its proper divisors (15637439664).

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

4054050000 is a wasteful number, since it uses less digits than its factorization.

4054050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 4054050000 is about 63671.4221609664. The cubic root of 4054050000 is about 1594.5190060471.

Adding to 4054050000 its reverse (504504), we get a palindrome (4054554504).

It can be divided in two parts, 405 and 4050000, that multiplied together give a square (1640250000 = 40500²).

The spelling of 4054050000 in words is "four billion, fifty-four million, fifty thousand", and thus it is an eban number.