981649120410 has 64 divisors (see below), whose sum is σ = 2991692563200. Its totient is φ = 224376941376.

The previous prime is 981649120409. The next prime is 981649120411. The reversal of 981649120410 is 14021946189.

It is a happy number.

981649120410 is a `hidden beast` number, since 98 + 1 + 64 + 91 + 2 + 0 + 410 = 666.

It is an interprime number because it is at equal distance from previous prime (981649120409) and next prime (981649120411).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (981649120411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259693645 + ... + 259697424.

It is an arithmetic number, because the mean of its divisors is an integer number (46745196300).

Almost surely, 2^981649120410 is an apocalyptic number.

981649120410 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

981649120410 is an abundant number, since it is smaller than the sum of its proper divisors (2010043442790).

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

981649120410 is a wasteful number, since it uses less digits than its factorization.

981649120410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519391092 (or 519391086 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 981649120410 in words is "nine hundred eighty-one billion, six hundred forty-nine million, one hundred twenty thousand, four hundred ten".