1504120440040 has 64 divisors (see below), whose sum is σ = 3409058016000. Its totient is φ = 597242714880.

The previous prime is 1504120440037. The next prime is 1504120440049. The reversal of 1504120440040 is 400440214051.

It is a super-2 number, since 2×1504120440040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1504120439987 and 1504120440014.

It is not an unprimeable number, because it can be changed into a prime (1504120440049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64601121 + ... + 64624399.

It is an arithmetic number, because the mean of its divisors is an integer number (53266531500).

Almost surely, 2^{1504120440040} is an apocalyptic number.

1504120440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1504120440040 is an abundant number, since it is smaller than the sum of its proper divisors (1904937575960).

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

1504120440040 is a wasteful number, since it uses less digits than its factorization.

1504120440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35050 (or 35046 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 1504120440040 its reverse (400440214051), we get a palindrome (1904560654091).

The spelling of 1504120440040 in words is "one trillion, five hundred four billion, one hundred twenty million, four hundred forty thousand, forty".