140128191276480 has 3584 divisors, whose sum is σ = 593895923712000. Its totient is φ = 31127987404800.

The previous prime is 140128191276467. The next prime is 140128191276551. The reversal of 140128191276480 is 84672191821041.

It is a happy number.

140128191276480 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 2 + 8 + 1 + 91 + 2 + 76 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 774188901990 + ... + 774188902170.

It is an arithmetic number, because the mean of its divisors is an integer number (165707568000).

Almost surely, 2^{140128191276480} is an apocalyptic number.

140128191276480 is a gapful number since it is divisible by the number (10) 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 140128191276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296947961856000).

140128191276480 is an abundant number, since it is smaller than the sum of its proper divisors (453767732435520).

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

140128191276480 is a wasteful number, since it uses less digits than its factorization.

140128191276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 140128191276480 in words is "one hundred forty trillion, one hundred twenty-eight billion, one hundred ninety-one million, two hundred seventy-six thousand, four hundred eighty".