1540440356 has 96 divisors (see below), whose sum is σ = 3421087488. Its totient is φ = 590653440.

The previous prime is 1540440337. The next prime is 1540440383. The reversal of 1540440356 is 6530440451.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3477071 + ... + 3477513.

It is an arithmetic number, because the mean of its divisors is an integer number (35636328).

Almost surely, 2^1540440356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540440356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710543744).

1540440356 is an abundant number, since it is smaller than the sum of its proper divisors (1880647132).

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

1540440356 is a wasteful number, since it uses less digits than its factorization.

1540440356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 1540440356 is about 39248.4439946350. The cubic root of 1540440356 is about 1154.9104097722.

The spelling of 1540440356 in words is "one billion, five hundred forty million, four hundred forty thousand, three hundred fifty-six".