1681540010240 has 36 divisors (see below), whose sum is σ = 4027813808844. Its totient is φ = 672616003584.

The previous prime is 1681540010237. The next prime is 1681540010243. The reversal of 1681540010240 is 420100451861.

It is an interprime number because it is at equal distance from previous prime (1681540010237) and next prime (1681540010243).

It can be written as a sum of positive squares in 2 ways, for example, as 1087999197184 + 593540813056 = 1043072^2 + 770416^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1681540010197 and 1681540010206.

It is not an unprimeable number, because it can be changed into a prime (1681540010243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 656850287 + ... + 656852846.

Almost surely, 2^{1681540010240} is an apocalyptic number.

1681540010240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681540010240 is an abundant number, since it is smaller than the sum of its proper divisors (2346273798604).

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

1681540010240 is an equidigital number, since it uses as much as digits as its factorization.

1681540010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313703154 (or 1313703140 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 1681540010240 in words is "one trillion, six hundred eighty-one billion, five hundred forty million, ten thousand, two hundred forty".