7741341401472 has 288 divisors, whose sum is σ = 27044557803120. Its totient is φ = 2081704624128.

The previous prime is 7741341401447. The next prime is 7741341401473. The reversal of 7741341401472 is 2741041431477.

7741341401472 is a `hidden beast` number, since 7 + 7 + 4 + 1 + 34 + 140 + 1 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7741341401473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 669618 + ... + 3991374.

Almost surely, 2^{7741341401472} is an apocalyptic number.

7741341401472 is a gapful number since it is divisible by the number (72) 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 7741341401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522278901560).

7741341401472 is an abundant number, since it is smaller than the sum of its proper divisors (19303216401648).

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

7741341401472 is a wasteful number, since it uses less digits than its factorization.

7741341401472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321818 (or 3321786 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 7741341401472 in words is "seven trillion, seven hundred forty-one billion, three hundred forty-one million, four hundred one thousand, four hundred seventy-two".