7478400127428 has 288 divisors, whose sum is σ = 20188325993472. Its totient is φ = 2330229657600.

The previous prime is 7478400127423. The next prime is 7478400127483. The reversal of 7478400127428 is 8247210048747.

7478400127428 is a `hidden beast` number, since 7 + 4 + 78 + 400 + 127 + 42 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (7478400127423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2776976050 + ... + 2776978742.

It is an arithmetic number, because the mean of its divisors is an integer number (70098354144).

Almost surely, 2^{7478400127428} 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 7478400127428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10094162996736).

7478400127428 is an abundant number, since it is smaller than the sum of its proper divisors (12709925866044).

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

7478400127428 is a wasteful number, since it uses less digits than its factorization.

7478400127428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 7478400127428 in words is "seven trillion, four hundred seventy-eight billion, four hundred million, one hundred twenty-seven thousand, four hundred twenty-eight".