1641387632640 has 1152 divisors, whose sum is σ = 6427946004480. Its totient is φ = 350082957312.

The previous prime is 1641387632609. The next prime is 1641387632671. The reversal of 1641387632640 is 462367831461.

It is an interprime number because it is at equal distance from previous prime (1641387632609) and next prime (1641387632671).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5346539367 + ... + 5346539673.

It is an arithmetic number, because the mean of its divisors is an integer number (5579814240).

Almost surely, 2^{1641387632640} is an apocalyptic number.

1641387632640 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 1641387632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213973002240).

1641387632640 is an abundant number, since it is smaller than the sum of its proper divisors (4786558371840).

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

1641387632640 is a wasteful number, since it uses less digits than its factorization.

1641387632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 1641387632640 in words is "one trillion, six hundred forty-one billion, three hundred eighty-seven million, six hundred thirty-two thousand, six hundred forty".