4114146400 has 288 divisors, whose sum is σ = 12767182848. Its totient is φ = 1259366400.

The previous prime is 4114146397. The next prime is 4114146433. The reversal of 4114146400 is 46414114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2255889 + ... + 2257711.

It is an arithmetic number, because the mean of its divisors is an integer number (44330496).

Almost surely, 2^4114146400 is an apocalyptic number.

4114146400 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 4114146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383591424).

4114146400 is an abundant number, since it is smaller than the sum of its proper divisors (8653036448).

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

4114146400 is a wasteful number, since it uses less digits than its factorization.

4114146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4114146400 is about 64141.6120782757. The cubic root of 4114146400 is about 1602.3593317610.

The spelling of 4114146400 in words is "four billion, one hundred fourteen million, one hundred forty-six thousand, four hundred".