150054410400 has 288 divisors, whose sum is σ = 516854919168. Its totient is φ = 37734681600.

The previous prime is 150054410399. The next prime is 150054410419. The reversal of 150054410400 is 4014450051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3900057 + ... + 3938343.

It is an arithmetic number, because the mean of its divisors is an integer number (1794635136).

Almost surely, 2^150054410400 is an apocalyptic number.

150054410400 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 150054410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258427459584).

150054410400 is an abundant number, since it is smaller than the sum of its proper divisors (366800508768).

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

150054410400 is a wasteful number, since it uses less digits than its factorization.

150054410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38404 (or 38391 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 150054410400 its reverse (4014450051), we get a palindrome (154068860451).

The spelling of 150054410400 in words is "one hundred fifty billion, fifty-four million, four hundred ten thousand, four hundred".