15200121440 has 72 divisors (see below), whose sum is σ = 41773212432. Its totient is φ = 5211467520.

The previous prime is 15200121371. The next prime is 15200121457. The reversal of 15200121440 is 4412100251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 961556 + ... + 977235.

It is an arithmetic number, because the mean of its divisors is an integer number (580183506).

Almost surely, 2^15200121440 is an apocalyptic number.

15200121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15200121440 is an abundant number, since it is smaller than the sum of its proper divisors (26573090992).

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

15200121440 is a wasteful number, since it uses less digits than its factorization.

15200121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938820 (or 1938805 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 15200121440 its reverse (4412100251), we get a palindrome (19612221691).

The spelling of 15200121440 in words is "fifteen billion, two hundred million, one hundred twenty-one thousand, four hundred forty".