1681078199040 has 2016 divisors, whose sum is σ = 6784848040320. Its totient is φ = 397303087104.

The previous prime is 1681078198997. The next prime is 1681078199083. The reversal of 1681078199040 is 409918701861.

It is an interprime number because it is at equal distance from previous prime (1681078198997) and next prime (1681078199083).

It is a super-2 number, since 2×1681078199040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 23028468444 + ... + 23028468516.

It is an arithmetic number, because the mean of its divisors is an integer number (3365500020).

Almost surely, 2^{1681078199040} is an apocalyptic number.

1681078199040 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 1681078199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392424020160).

1681078199040 is an abundant number, since it is smaller than the sum of its proper divisors (5103769841280).

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

1681078199040 is an equidigital number, since it uses as much as digits as its factorization.

1681078199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 1681078199040 in words is "one trillion, six hundred eighty-one billion, seventy-eight million, one hundred ninety-nine thousand, forty".