7251822404840 has 256 divisors, whose sum is σ = 19197208396800. Its totient is φ = 2441030270976.

The previous prime is 7251822404837. The next prime is 7251822404851. The reversal of 7251822404840 is 484042281527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 40211591 + ... + 40391529.

It is an arithmetic number, because the mean of its divisors is an integer number (74989095300).

Almost surely, 2^{7251822404840} 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 7251822404840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9598604198400).

7251822404840 is an abundant number, since it is smaller than the sum of its proper divisors (11945385991960).

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

7251822404840 is a wasteful number, since it uses less digits than its factorization.

7251822404840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180124 (or 180120 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 47.

The spelling of 7251822404840 in words is "seven trillion, two hundred fifty-one billion, eight hundred twenty-two million, four hundred four thousand, eight hundred forty".