150442240332000 has 384 divisors, whose sum is σ = 497915291922048. Its totient is φ = 39705815040000.

The previous prime is 150442240331959. The next prime is 150442240332019. The reversal of 150442240332000 is 233042244051.

It is a super-2 number, since 2×150442240332000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 3438422124 + ... + 3438465876.

It is an arithmetic number, because the mean of its divisors is an integer number (1296654406047).

Almost surely, 2^{150442240332000} is an apocalyptic number.

150442240332000 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 150442240332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248957645961024).

150442240332000 is an abundant number, since it is smaller than the sum of its proper divisors (347473051590048).

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

150442240332000 is a wasteful number, since it uses less digits than its factorization.

150442240332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46719 (or 46701 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 150442240332000 its reverse (233042244051), we get a palindrome (150675282576051).

The spelling of 150442240332000 in words is "one hundred fifty trillion, four hundred forty-two billion, two hundred forty million, three hundred thirty-two thousand".