1540042400 has 144 divisors (see below), whose sum is σ = 4069911384. Its totient is φ = 565678080.

The previous prime is 1540042351. The next prime is 1540042403. The reversal of 1540042400 is 42400451.

It can be written as a sum of positive squares in 12 ways, for example, as 41113744 + 1498928656 = 6412^2 + 38716^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1540042403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3879002 + ... + 3879398.

Almost surely, 2^1540042400 is an apocalyptic number.

1540042400 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 1540042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034955692).

1540042400 is an abundant number, since it is smaller than the sum of its proper divisors (2529868984).

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

1540042400 is a wasteful number, since it uses less digits than its factorization.

1540042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1540042400 is about 39243.3739630017. The cubic root of 1540042400 is about 1154.8109483620.

Adding to 1540042400 its reverse (42400451), we get a palindrome (1582442851).

The spelling of 1540042400 in words is "one billion, five hundred forty million, forty-two thousand, four hundred".