1540414000240 has 40 divisors (see below), whose sum is σ = 3592904981328. Its totient is φ = 614197009920.

The previous prime is 1540414000211. The next prime is 1540414000241. The reversal of 1540414000240 is 420004140451.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540414000241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30734026 + ... + 30784105.

Almost surely, 2^{1540414000240} is an apocalyptic number.

1540414000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540414000240 is an abundant number, since it is smaller than the sum of its proper divisors (2052490981088).

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

1540414000240 is a wasteful number, since it uses less digits than its factorization.

1540414000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61518457 (or 61518451 counting only the distinct ones).

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

Adding to 1540414000240 its reverse (420004140451), we get a palindrome (1960418140691).

The spelling of 1540414000240 in words is "one trillion, five hundred forty billion, four hundred fourteen million, two hundred forty", and thus it is an aban number.