1541042400 has 144 divisors (see below), whose sum is σ = 5138764848. Its totient is φ = 400896000.

The previous prime is 1541042383. The next prime is 1541042501. The reversal of 1541042400 is 42401451.

It is a happy number.

1541042400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90570 + ... + 106230.

It is an arithmetic number, because the mean of its divisors is an integer number (35685867).

Almost surely, 2^1541042400 is an apocalyptic number.

1541042400 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 1541042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569382424).

1541042400 is an abundant number, since it is smaller than the sum of its proper divisors (3597722448).

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

1541042400 is a wasteful number, since it uses less digits than its factorization.

1541042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15725 (or 15712 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1541042400 is about 39256.1128997765. The cubic root of 1541042400 is about 1155.0608464787.

Adding to 1541042400 its reverse (42401451), we get a palindrome (1583443851).

The spelling of 1541042400 in words is "one billion, five hundred forty-one million, forty-two thousand, four hundred".