4114153440 has 144 divisors (see below), whose sum is σ = 14523818400. Its totient is φ = 1059265536.

The previous prime is 4114153423. The next prime is 4114153453. The reversal of 4114153440 is 443514114.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7500 + ... + 91019.

It is an arithmetic number, because the mean of its divisors is an integer number (100859850).

Almost surely, 2^4114153440 is an apocalyptic number.

4114153440 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 4114153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261909200).

4114153440 is an abundant number, since it is smaller than the sum of its proper divisors (10409664960).

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

4114153440 is a wasteful number, since it uses less digits than its factorization.

4114153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98569 (or 98558 counting only the distinct ones).

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

The square root of 4114153440 is about 64141.6669568230. Note that the first 3 decimals coincide. The cubic root of 4114153440 is about 1602.3602457297.

Adding to 4114153440 its reverse (443514114), we get a palindrome (4557667554).

The spelling of 4114153440 in words is "four billion, one hundred fourteen million, one hundred fifty-three thousand, four hundred forty".