4154961408 has 320 divisors, whose sum is σ = 12704186880. Its totient is φ = 1197047808.

The previous prime is 4154961353. The next prime is 4154961409. The reversal of 4154961408 is 8041694514.

It is a self number, because there is not a number n which added to its sum of digits gives 4154961408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4154961409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38118858 + ... + 38118966.

It is an arithmetic number, because the mean of its divisors is an integer number (39700584).

Almost surely, 2^4154961408 is an apocalyptic number.

4154961408 is a gapful number since it is divisible by the number (48) 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 4154961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352093440).

4154961408 is an abundant number, since it is smaller than the sum of its proper divisors (8549225472).

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

4154961408 is a wasteful number, since it uses less digits than its factorization.

4154961408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 4154961408 is about 64458.9901255054. The cubic root of 4154961408 is about 1607.6407207016.

The spelling of 4154961408 in words is "four billion, one hundred fifty-four million, nine hundred sixty-one thousand, four hundred eight".