150009600005040 has 320 divisors, whose sum is σ = 487093864176000. Its totient is φ = 38142143004672.

The previous prime is 150009600005003. The next prime is 150009600005119. The reversal of 150009600005040 is 40500006900051.

It is a super-4 number, since 4×150009600005040⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 150009600004989 and 150009600005007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178989852 + ... + 179825988.

It is an arithmetic number, because the mean of its divisors is an integer number (1522168325550).

Almost surely, 2^{150009600005040} is an apocalyptic number.

150009600005040 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 150009600005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243546932088000).

150009600005040 is an abundant number, since it is smaller than the sum of its proper divisors (337084264170960).

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

150009600005040 is a wasteful number, since it uses less digits than its factorization.

150009600005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836504 (or 836498 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 150009600005040 its reverse (40500006900051), we get a palindrome (190509606905091).

The spelling of 150009600005040 in words is "one hundred fifty trillion, nine billion, six hundred million, five thousand, forty".