7440513444 has 192 divisors, whose sum is σ = 24078458880. Its totient is φ = 1934513280.

The previous prime is 7440513439. The next prime is 7440513481. The reversal of 7440513444 is 4443150447.

It is a super-2 number, since 2×7440513444² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7440513399 and 7440513408.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 692457 + ... + 703119.

It is an arithmetic number, because the mean of its divisors is an integer number (125408640).

Almost surely, 2^7440513444 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 7440513444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039229440).

7440513444 is an abundant number, since it is smaller than the sum of its proper divisors (16637945436).

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

7440513444 is a wasteful number, since it uses less digits than its factorization.

7440513444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10767 (or 10759 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 7440513444 is about 86258.4108594634. The cubic root of 7440513444 is about 1952.2449222513.

The spelling of 7440513444 in words is "seven billion, four hundred forty million, five hundred thirteen thousand, four hundred forty-four".