4095154080 has 288 divisors, whose sum is σ = 14513557968. Its totient is φ = 1050624000.

The previous prime is 4095154079. The next prime is 4095154081. The reversal of 4095154080 is 804515904.

It is an interprime number because it is at equal distance from previous prime (4095154079) and next prime (4095154081).

It can be written as a sum of positive squares in 8 ways, for example, as 2384173584 + 1710980496 = 48828^2 + 41364^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4095154081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5380900 + ... + 5381660.

Almost surely, 2^4095154080 is an apocalyptic number.

4095154080 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 4095154080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256778984).

4095154080 is an abundant number, since it is smaller than the sum of its proper divisors (10418403888).

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

4095154080 is a wasteful number, since it uses less digits than its factorization.

4095154080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4095154080 is about 63993.3909087493. The cubic root of 4095154080 is about 1599.8898465832.

Adding to 4095154080 its reverse (804515904), we get a palindrome (4899669984).

It can be divided in two parts, 409515 and 4080, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 4095154080 in words is "four billion, ninety-five million, one hundred fifty-four thousand, eighty".