1541200232000 has 504 divisors, whose sum is σ = 4543328613096. Its totient is φ = 517271040000.

The previous prime is 1541200231999. The next prime is 1541200232041. The reversal of 1541200232000 is 2320021451.

It can be written as a sum of positive squares in 12 ways, for example, as 1528032210496 + 13168021504 = 1236136^2 + 114752^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163587290 + ... + 163596710.

It is an arithmetic number, because the mean of its divisors is an integer number (9014540899).

Almost surely, 2^{1541200232000} is an apocalyptic number.

1541200232000 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 1541200232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271664306548).

1541200232000 is an abundant number, since it is smaller than the sum of its proper divisors (3002128381096).

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

1541200232000 is a wasteful number, since it uses less digits than its factorization.

1541200232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9496 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1541200232000 its reverse (2320021451), we get a palindrome (1543520253451).

The spelling of 1541200232000 in words is "one trillion, five hundred forty-one billion, two hundred million, two hundred thirty-two thousand".