1541053132400 has 120 divisors (see below), whose sum is σ = 3906128265600. Its totient is φ = 582646521600.

The previous prime is 1541053132397. The next prime is 1541053132429. The reversal of 1541053132400 is 42313501451.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3105455 + ... + 3567345.

It is an arithmetic number, because the mean of its divisors is an integer number (32551068880).

Almost surely, 2^{1541053132400} is an apocalyptic number.

1541053132400 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 1541053132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953064132800).

1541053132400 is an abundant number, since it is smaller than the sum of its proper divisors (2365075133200).

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

1541053132400 is a wasteful number, since it uses less digits than its factorization.

1541053132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462367 (or 462356 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 1541053132400 its reverse (42313501451), we get a palindrome (1583366633851).

The spelling of 1541053132400 in words is "one trillion, five hundred forty-one billion, fifty-three million, one hundred thirty-two thousand, four hundred".