15101322451040 has 96 divisors (see below), whose sum is σ = 40782340033344. Its totient is φ = 5176482693120.

The previous prime is 15101322451037. The next prime is 15101322451043. The reversal of 15101322451040 is 4015422310151.

It is a happy number.

15101322451040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15101322451037) and next prime (15101322451043).

It is a junction number, because it is equal to n+sod(n) for n = 15101322450994 and 15101322451012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15101322451043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3768200 + ... + 6663480.

It is an arithmetic number, because the mean of its divisors is an integer number (424816042014).

Almost surely, 2^{15101322451040} is an apocalyptic number.

15101322451040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15101322451040 is an abundant number, since it is smaller than the sum of its proper divisors (25681017582304).

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

15101322451040 is a wasteful number, since it uses less digits than its factorization.

15101322451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899960 (or 2899952 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 15101322451040 its reverse (4015422310151), we get a palindrome (19116744761191).

The spelling of 15101322451040 in words is "fifteen trillion, one hundred one billion, three hundred twenty-two million, four hundred fifty-one thousand, forty".