1538096040 has 360 divisors, whose sum is σ = 5705586810. Its totient is φ = 371464704.

The previous prime is 1538096023. The next prime is 1538096041. The reversal of 1538096040 is 406908351.

1538096040 is a `hidden beast` number, since 15 + 38 + 0 + 9 + 604 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 39012516 + 1499083524 = 6246^2 + 38718^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×1538096040³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1538095986 and 1538096004.

It is not an unprimeable number, because it can be changed into a prime (1538096041) 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 89 ways as a sum of consecutive naturals, for example, 29020654 + ... + 29020706.

It is a vampire number, since it can be written as 31005 ⋅ 49608 (with its own digits).

Almost surely, 2^1538096040 is an apocalyptic number.

1538096040 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 1538096040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852793405).

1538096040 is an abundant number, since it is smaller than the sum of its proper divisors (4167490770).

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

1538096040 is a wasteful number, since it uses less digits than its factorization.

1538096040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1538096040 is about 39218.5675414082. The cubic root of 1538096040 is about 1154.3242463073.

The spelling of 1538096040 in words is "one billion, five hundred thirty-eight million, ninety-six thousand, forty".