15052120341440 has 224 divisors, whose sum is σ = 44159252336640. Its totient is φ = 4758892793856.

The previous prime is 15052120341437. The next prime is 15052120341443. The reversal of 15052120341440 is 4414302125051.

It is an interprime number because it is at equal distance from previous prime (15052120341437) and next prime (15052120341443).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 15052120341397 and 15052120341406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15052120341443) 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 31 ways as a sum of consecutive naturals, for example, 28362041 + ... + 28887879.

It is an arithmetic number, because the mean of its divisors is an integer number (197139519360).

Almost surely, 2^{15052120341440} is an apocalyptic number.

15052120341440 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 15052120341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22079626168320).

15052120341440 is an abundant number, since it is smaller than the sum of its proper divisors (29107131995200).

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

15052120341440 is a wasteful number, since it uses less digits than its factorization.

15052120341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526859 (or 526849 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 15052120341440 its reverse (4414302125051), we get a palindrome (19466422466491).

The spelling of 15052120341440 in words is "fifteen trillion, fifty-two billion, one hundred twenty million, three hundred forty-one thousand, four hundred forty".