7441462698096 has 640 divisors, whose sum is σ = 24013343047680. Its totient is φ = 1937811456000.

The previous prime is 7441462698091. The next prime is 7441462698121. The reversal of 7441462698096 is 6908962641447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7441462698091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5693543875 + ... + 5693545181.

It is an arithmetic number, because the mean of its divisors is an integer number (37520848512).

Almost surely, 2^{7441462698096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7441462698096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12006671523840).

7441462698096 is an abundant number, since it is smaller than the sum of its proper divisors (16571880349584).

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

7441462698096 is a wasteful number, since it uses less digits than its factorization.

7441462698096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 7441462698096 in words is "seven trillion, four hundred forty-one billion, four hundred sixty-two million, six hundred ninety-eight thousand, ninety-six".