15128140070400 has 960 divisors, whose sum is σ = 59082100408320. Its totient is φ = 3339192729600.

The previous prime is 15128140070389. The next prime is 15128140070423. The reversal of 15128140070400 is 407004182151.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4558039941 + ... + 4558043259.

It is an arithmetic number, because the mean of its divisors is an integer number (61543854592).

Almost surely, 2^{15128140070400} is an apocalyptic number.

15128140070400 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 15128140070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29541050204160).

15128140070400 is an abundant number, since it is smaller than the sum of its proper divisors (43953960337920).

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

15128140070400 is a wasteful number, since it uses less digits than its factorization.

15128140070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 15128140070400 in words is "fifteen trillion, one hundred twenty-eight billion, one hundred forty million, seventy thousand, four hundred".