1641074940540 has 288 divisors, whose sum is σ = 5725955289600. Its totient is φ = 372678133248.

The previous prime is 1641074940521. The next prime is 1641074940649. The reversal of 1641074940540 is 450494701461.

1641074940540 is a `hidden beast` number, since 1 + 6 + 4 + 10 + 7 + 4 + 94 + 0 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124439827 + ... + 124453013.

It is an arithmetic number, because the mean of its divisors is an integer number (19881789200).

Almost surely, 2^{1641074940540} is an apocalyptic number.

1641074940540 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 1641074940540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862977644800).

1641074940540 is an abundant number, since it is smaller than the sum of its proper divisors (4084880349060).

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

1641074940540 is a wasteful number, since it uses less digits than its factorization.

1641074940540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13841 (or 13836 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1641074940540 in words is "one trillion, six hundred forty-one billion, seventy-four million, nine hundred forty thousand, five hundred forty".