4002981737625 has 144 divisors (see below), whose sum is σ = 8069622676752. Its totient is φ = 1970693452800.

The previous prime is 4002981737617. The next prime is 4002981737633. The reversal of 4002981737625 is 5267371892004.

It is a happy number.

4002981737625 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 9 + 8 + 1 + 7 + 3 + 7 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (4002981737617) and next prime (4002981737633).

It can be written as a sum of positive squares in 8 ways, for example, as 1884769291161 + 2118212446464 = 1372869^2 + 1455408^2 .

It is not a de Polignac number, because 4002981737625 - 2³ = 4002981737617 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10473897 + ... + 10849353.

It is a 1-persistent number, because it is pandigital, but 2⋅4002981737625 = 8005963475250 is not.

Almost surely, 2^{4002981737625} is an apocalyptic number.

4002981737625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4002981737625 is an abundant number, since it is smaller than the sum of its proper divisors (4066640939127).

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

4002981737625 is an frugal number, since it uses more digits than its factorization.

4002981737625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375509 (or 375478 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4002981737625 in words is "four trillion, two billion, nine hundred eighty-one million, seven hundred thirty-seven thousand, six hundred twenty-five".