4931406144 has 224 divisors, whose sum is σ = 16628099840. Its totient is φ = 1403910144.

The previous prime is 4931406133. The next prime is 4931406163. The reversal of 4931406144 is 4416041394.

It is a happy number.

4931406144 is a `hidden beast` number, since 4 + 9 + 31 + 4 + 0 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4931406099 and 4931406108.

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, 4511262 + ... + 4512354.

Almost surely, 2^4931406144 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 4931406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8314049920).

4931406144 is an abundant number, since it is smaller than the sum of its proper divisors (11696693696).

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

4931406144 is a wasteful number, since it uses less digits than its factorization.

4931406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4931406144 is about 70223.9712918602. The cubic root of 4931406144 is about 1702.1203236480.

The spelling of 4931406144 in words is "four billion, nine hundred thirty-one million, four hundred six thousand, one hundred forty-four".