1540014252224 has 112 divisors (see below), whose sum is σ = 3794942392320. Its totient is φ = 605098874880.

The previous prime is 1540014252221. The next prime is 1540014252277. The reversal of 1540014252224 is 4222524100451.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1540014252221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2654237 + ... + 3181980.

Almost surely, 2^{1540014252224} is an apocalyptic number.

1540014252224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1540014252224 is an abundant number, since it is smaller than the sum of its proper divisors (2254928140096).

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

1540014252224 is a wasteful number, since it uses less digits than its factorization.

1540014252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836286 (or 5836276 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 1540014252224 its reverse (4222524100451), we get a palindrome (5762538352675).

The spelling of 1540014252224 in words is "one trillion, five hundred forty billion, fourteen million, two hundred fifty-two thousand, two hundred twenty-four".