7420590144 has 392 divisors, whose sum is σ = 25385755680. Its totient is φ = 2127513600.

The previous prime is 7420590143. The next prime is 7420590157. The reversal of 7420590144 is 4410950247.

It is a happy number.

7420590144 is a `hidden beast` number, since 7 + 4 + 20 + 590 + 1 + 44 = 666.

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 = 7420590099 and 7420590108.

It is not an unprimeable number, because it can be changed into a prime (7420590143) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9750724 + ... + 9751484.

Almost surely, 2^7420590144 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 7420590144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692877840).

7420590144 is an abundant number, since it is smaller than the sum of its proper divisors (17965165536).

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

7420590144 is a wasteful number, since it uses less digits than its factorization.

7420590144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7420590144 is about 86142.8473176967. The cubic root of 7420590144 is about 1950.5008701538.

The spelling of 7420590144 in words is "seven billion, four hundred twenty million, five hundred ninety thousand, one hundred forty-four".