15451241114340 has 288 divisors, whose sum is σ = 49349863355520. Its totient is φ = 4057206506496.

The previous prime is 15451241114339. The next prime is 15451241114341. The reversal of 15451241114340 is 4341114215451.

15451241114340 is a `hidden beast` number, since 1 + 5 + 451 + 24 + 1 + 1 + 143 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (15451241114339) and next prime (15451241114341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15451241114295 and 15451241114304.

It is not an unprimeable number, because it can be changed into a prime (15451241114341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 961547826 + ... + 961563894.

Almost surely, 2^{15451241114340} is an apocalyptic number.

15451241114340 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 15451241114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24674931677760).

15451241114340 is an abundant number, since it is smaller than the sum of its proper divisors (33898622241180).

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

15451241114340 is a wasteful number, since it uses less digits than its factorization.

15451241114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19113 (or 19099 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 15451241114340 its reverse (4341114215451), we get a palindrome (19792355329791).

The spelling of 15451241114340 in words is "fifteen trillion, four hundred fifty-one billion, two hundred forty-one million, one hundred fourteen thousand, three hundred forty".