1540525000400 has 60 divisors (see below), whose sum is σ = 3787183711872. Its totient is φ = 601879528320.

The previous prime is 1540525000327. The next prime is 1540525000403. The reversal of 1540525000400 is 40005250451.

It is a self number, because there is not a number n which added to its sum of digits gives 1540525000400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540525000403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44765504 + ... + 44799903.

Almost surely, 2^{1540525000400} is an apocalyptic number.

1540525000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540525000400 is an abundant number, since it is smaller than the sum of its proper divisors (2246658711472).

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

1540525000400 is a wasteful number, since it uses less digits than its factorization.

1540525000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89565468 (or 89565457 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 1540525000400 in words is "one trillion, five hundred forty billion, five hundred twenty-five million, four hundred", and thus it is an aban number.