1020620164440 has 128 divisors (see below), whose sum is σ = 3223633593600. Its totient is φ = 257791080960.

The previous prime is 1020620164427. The next prime is 1020620164469. The reversal of 1020620164440 is 444610260201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1020620164398 and 1020620164407.

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, 12570214 + ... + 12651146.

It is an arithmetic number, because the mean of its divisors is an integer number (25184637450).

Almost surely, 2^{1020620164440} is an apocalyptic number.

1020620164440 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 1020620164440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611816796800).

1020620164440 is an abundant number, since it is smaller than the sum of its proper divisors (2203013429160).

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

1020620164440 is a wasteful number, since it uses less digits than its factorization.

1020620164440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86497 (or 86493 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 1020620164440 in words is "one trillion, twenty billion, six hundred twenty million, one hundred sixty-four thousand, four hundred forty".