102016660609440 has 288 divisors, whose sum is σ = 351706922985600. Its totient is φ = 26926363035648.

The previous prime is 102016660609337. The next prime is 102016660609441. The reversal of 102016660609440 is 44906066610201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×102016660609440² (a number of 29 digits) contains 22 as substring.

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 (102016660609441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59880429 + ... + 61560531.

It is an arithmetic number, because the mean of its divisors is an integer number (1221204593700).

Almost surely, 2^{102016660609440} is an apocalyptic number.

102016660609440 is a gapful number since it is divisible by the number (10) 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 102016660609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175853461492800).

102016660609440 is an abundant number, since it is smaller than the sum of its proper divisors (249690262376160).

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

102016660609440 is a wasteful number, since it uses less digits than its factorization.

102016660609440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680556 (or 1680545 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 102016660609440 in words is "one hundred two trillion, sixteen billion, six hundred sixty million, six hundred nine thousand, four hundred forty".