15442300240000 has 240 divisors, whose sum is σ = 38755894792230. Its totient is φ = 6126667264000.

The previous prime is 15442300239959. The next prime is 15442300240013. The reversal of 15442300240000 is 4200324451.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 357900669504 + 15084399570496 = 598248^2 + 3883864^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13009519407 + ... + 13009520593.

Almost surely, 2^{15442300240000} is an apocalyptic number.

15442300240000 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 15442300240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19377947396115).

15442300240000 is an abundant number, since it is smaller than the sum of its proper divisors (23313594552230).

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

15442300240000 is an frugal number, since it uses more digits than its factorization.

15442300240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 15442300240000 its reverse (4200324451), we get a palindrome (15446500564451).

The spelling of 15442300240000 in words is "fifteen trillion, four hundred forty-two billion, three hundred million, two hundred forty thousand".