7422927402240 has 2160 divisors, whose sum is σ = 32337537813504. Its totient is φ = 1590932275200.

The previous prime is 7422927402227. The next prime is 7422927402263. The reversal of 7422927402240 is 422047292247.

7422927402240 is a `hidden beast` number, since 74 + 2 + 292 + 74 + 0 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×7422927402240³ (a number of 40 digits) contains 333 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 239 ways as a sum of consecutive naturals, for example, 30800528520 + ... + 30800528760.

Almost surely, 2^{7422927402240} is an apocalyptic number.

7422927402240 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 7422927402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168768906752).

7422927402240 is an abundant number, since it is smaller than the sum of its proper divisors (24914610411264).

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

7422927402240 is a wasteful number, since it uses less digits than its factorization.

7422927402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 7422927402240 in words is "seven trillion, four hundred twenty-two billion, nine hundred twenty-seven million, four hundred two thousand, two hundred forty".