1646311511040 has 704 divisors, whose sum is σ = 6127951603200. Its totient is φ = 369465753600.

The previous prime is 1646311511029. The next prime is 1646311511093. The reversal of 1646311511040 is 401151136461.

It is a junction number, because it is equal to n+sod(n) for n = 1646311510992 and 1646311511010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2739286740 + ... + 2739287340.

Almost surely, 2^{1646311511040} is an apocalyptic number.

1646311511040 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 1646311511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063975801600).

1646311511040 is an abundant number, since it is smaller than the sum of its proper divisors (4481640092160).

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

1646311511040 is a wasteful number, since it uses less digits than its factorization.

1646311511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 1646311511040 in words is "one trillion, six hundred forty-six billion, three hundred eleven million, five hundred eleven thousand, forty".