7428084565440 has 1008 divisors, whose sum is σ = 30249042225696. Its totient is φ = 1538709258240.

The previous prime is 7428084565411. The next prime is 7428084565457. The reversal of 7428084565440 is 445654808247.

It is a happy number.

It is a super-2 number, since 2×7428084565440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2009217672 + ... + 2009221368.

It is an arithmetic number, because the mean of its divisors is an integer number (30008970462).

Almost surely, 2^{7428084565440} is an apocalyptic number.

7428084565440 is a gapful number since it is divisible by the number (70) 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 7428084565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124521112848).

7428084565440 is an abundant number, since it is smaller than the sum of its proper divisors (22820957660256).

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

7428084565440 is a wasteful number, since it uses less digits than its factorization.

7428084565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 57.

The spelling of 7428084565440 in words is "seven trillion, four hundred twenty-eight billion, eighty-four million, five hundred sixty-five thousand, four hundred forty".