4001416254 has 64 divisors (see below), whose sum is σ = 9718272000. Its totient is φ = 1210317120.

The previous prime is 4001416249. The next prime is 4001416261. The reversal of 4001416254 is 4526141004.

4001416254 is a `hidden beast` number, since 400 + 1 + 4 + 1 + 6 + 254 = 666.

It is a super-2 number, since 2×4001416254² = 32022664075550785032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332067 + ... + 343905.

It is an arithmetic number, because the mean of its divisors is an integer number (151848000).

Almost surely, 2^4001416254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001416254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859136000).

4001416254 is an abundant number, since it is smaller than the sum of its proper divisors (5716855746).

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

4001416254 is a wasteful number, since it uses less digits than its factorization.

4001416254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12430 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4001416254 is about 63256.7486834409. The cubic root of 4001416254 is about 1587.5883767858.

Adding to 4001416254 its reverse (4526141004), we get a palindrome (8527557258).

The spelling of 4001416254 in words is "four billion, one million, four hundred sixteen thousand, two hundred fifty-four".