7040890640448 has 560 divisors, whose sum is σ = 24330369976704. Its totient is φ = 1971512524800.

The previous prime is 7040890640429. The next prime is 7040890640449. The reversal of 7040890640448 is 8440460980407.

7040890640448 is a `hidden beast` number, since 70 + 4 + 0 + 8 + 90 + 6 + 40 + 448 = 666.

It is a super-2 number, since 2×7040890640448² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7040890640394 and 7040890640403.

It is not an unprimeable number, because it can be changed into a prime (7040890640449) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2513704648 + ... + 2513707448.

Almost surely, 2^{7040890640448} 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 7040890640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12165184988352).

7040890640448 is an abundant number, since it is smaller than the sum of its proper divisors (17289479336256).

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

7040890640448 is a wasteful number, since it uses less digits than its factorization.

7040890640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 7040890640448 in words is "seven trillion, forty billion, eight hundred ninety million, six hundred forty thousand, four hundred forty-eight".