7401054128160 has 1536 divisors, whose sum is σ = 32252658278400. Its totient is φ = 1379958128640.

The previous prime is 7401054128159. The next prime is 7401054128173. The reversal of 7401054128160 is 618214501047.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1079339452 + ... + 1079346308.

It is an arithmetic number, because the mean of its divisors is an integer number (20997824400).

Almost surely, 2^{7401054128160} is an apocalyptic number.

7401054128160 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 7401054128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16126329139200).

7401054128160 is an abundant number, since it is smaller than the sum of its proper divisors (24851604150240).

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

7401054128160 is a wasteful number, since it uses less digits than its factorization.

7401054128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 7401054128160 in words is "seven trillion, four hundred one billion, fifty-four million, one hundred twenty-eight thousand, one hundred sixty".