15042150400 has 102 divisors (see below), whose sum is σ = 37308311582. Its totient is φ = 6016204800.

The previous prime is 15042150377. The next prime is 15042150407. The reversal of 15042150400 is 405124051.

It can be written as a sum of positive squares in 3 ways, for example, as 1534132224 + 13508018176 = 39168^2 + 116224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15042150407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1633810 + ... + 1642990.

Almost surely, 2^15042150400 is an apocalyptic number.

15042150400 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 15042150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18654155791).

15042150400 is an abundant number, since it is smaller than the sum of its proper divisors (22266161182).

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

15042150400 is an frugal number, since it uses more digits than its factorization.

15042150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 15042150400 its reverse (405124051), we get a palindrome (15447274451).

The spelling of 15042150400 in words is "fifteen billion, forty-two million, one hundred fifty thousand, four hundred".