1540991400 has 192 divisors, whose sum is σ = 5311326720. Its totient is φ = 367027200.

The previous prime is 1540991399. The next prime is 1540991449. The reversal of 1540991400 is 41990451.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238614 + ... + 244986.

It is an arithmetic number, because the mean of its divisors is an integer number (27663160).

Almost surely, 2^1540991400 is an apocalyptic number.

1540991400 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 1540991400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655663360).

1540991400 is an abundant number, since it is smaller than the sum of its proper divisors (3770335320).

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

1540991400 is a wasteful number, since it uses less digits than its factorization.

1540991400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1540991400 is about 39255.4633140408. The cubic root of 1540991400 is about 1155.0481042913.

The spelling of 1540991400 in words is "one billion, five hundred forty million, nine hundred ninety-one thousand, four hundred".