7427590410240 has 4368 divisors, whose sum is σ = 37036076466816. Its totient is φ = 1404606873600.

The previous prime is 7427590410223. The next prime is 7427590410277. The reversal of 7427590410240 is 420140957247.

7427590410240 is a `hidden beast` number, since 7 + 4 + 2 + 7 + 590 + 4 + 10 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4368).

It is a super-2 number, since 2×7427590410240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 104613949405 + ... + 104613949475.

Almost surely, 2^{7427590410240} is an apocalyptic number.

7427590410240 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 7427590410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18518038233408).

7427590410240 is an abundant number, since it is smaller than the sum of its proper divisors (29608486056576).

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

7427590410240 is a wasteful number, since it uses less digits than its factorization.

7427590410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 7427590410240 in words is "seven trillion, four hundred twenty-seven billion, five hundred ninety million, four hundred ten thousand, two hundred forty".