64141400 has 48 divisors (see below), whose sum is σ = 151262640. Its totient is φ = 25289600.

The previous prime is 64141379. The next prime is 64141409. The reversal of 64141400 is 414146.

It is a happy number.

64141400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64141400² = 8228238387920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64141409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11942 + ... + 16458.

It is an arithmetic number, because the mean of its divisors is an integer number (3151305).

Almost surely, 2^64141400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75631320).

64141400 is an abundant number, since it is smaller than the sum of its proper divisors (87121240).

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

64141400 is a wasteful number, since it uses less digits than its factorization.

64141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 64141400 is about 8008.8326240470. The cubic root of 64141400 is about 400.2943666509.

Adding to 64141400 its reverse (414146), we get a palindrome (64555546).

The spelling of 64141400 in words is "sixty-four million, one hundred forty-one thousand, four hundred".