621142144 has 64 divisors (see below), whose sum is σ = 1423218240. Its totient is φ = 264508416.

The previous prime is 621142103. The next prime is 621142153. The reversal of 621142144 is 441241126.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143922 + ... + 148174.

It is an arithmetic number, because the mean of its divisors is an integer number (22237785).

Almost surely, 2^621142144 is an apocalyptic number.

621142144 is a gapful number since it is divisible by the number (64) 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 621142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711609120).

621142144 is an abundant number, since it is smaller than the sum of its proper divisors (802076096).

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

621142144 is a wasteful number, since it uses less digits than its factorization.

621142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4425 counting only the distinct ones).

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

The square root of 621142144 is about 24922.7234466862. The cubic root of 621142144 is about 853.2251837766.

The spelling of 621142144 in words is "six hundred twenty-one million, one hundred forty-two thousand, one hundred forty-four".