1540069440 has 672 divisors, whose sum is σ = 6497750784. Its totient is φ = 300810240.

The previous prime is 1540069403. The next prime is 1540069483. The reversal of 1540069440 is 449600451.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25247010 + ... + 25247070.

It is an arithmetic number, because the mean of its divisors is an integer number (9669272).

Almost surely, 2^1540069440 is an apocalyptic number.

1540069440 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 1540069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248875392).

1540069440 is an abundant number, since it is smaller than the sum of its proper divisors (4957681344).

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

1540069440 is a wasteful number, since it uses less digits than its factorization.

1540069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1540069440 is about 39243.7184782482. The cubic root of 1540069440 is about 1154.8177070299.

Adding to 1540069440 its reverse (449600451), we get a palindrome (1989669891).

The spelling of 1540069440 in words is "one billion, five hundred forty million, sixty-nine thousand, four hundred forty".