1540130400 has 216 divisors, whose sum is σ = 5454572760. Its totient is φ = 408913920.

The previous prime is 1540130387. The next prime is 1540130411. The reversal of 1540130400 is 40310451.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2944539 + ... + 2945061.

Almost surely, 2^1540130400 is an apocalyptic number.

1540130400 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 1540130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727286380).

1540130400 is an abundant number, since it is smaller than the sum of its proper divisors (3914442360).

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

1540130400 is a wasteful number, since it uses less digits than its factorization.

1540130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1540130400 is about 39244.4951553718. The cubic root of 1540130400 is about 1154.8329437365.

Adding to 1540130400 its reverse (40310451), we get a palindrome (1580440851).

The spelling of 1540130400 in words is "one billion, five hundred forty million, one hundred thirty thousand, four hundred".