7149147406128 has 1440 divisors, whose sum is σ = 27582988742400. Its totient is φ = 1771779889152.

The previous prime is 7149147406097. The next prime is 7149147406139. The reversal of 7149147406128 is 8216047419417.

7149147406128 is a `hidden beast` number, since 7 + 1 + 4 + 9 + 14 + 7 + 4 + 0 + 612 + 8 = 666.

It is a super-2 number, since 2×7149147406128² (a number of 27 digits) contains 22 as substring.

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

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 287 ways as a sum of consecutive naturals, for example, 6540847950 + ... + 6540849042.

Almost surely, 2^{7149147406128} is an apocalyptic number.

7149147406128 is a gapful number since it is divisible by the number (78) 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 7149147406128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791494371200).

7149147406128 is an abundant number, since it is smaller than the sum of its proper divisors (20433841336272).

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

7149147406128 is a wasteful number, since it uses less digits than its factorization.

7149147406128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 7149147406128 in words is "seven trillion, one hundred forty-nine billion, one hundred forty-seven million, four hundred six thousand, one hundred twenty-eight".