1540413914004 has 36 divisors (see below), whose sum is σ = 4450084641184. Its totient is φ = 440118261072.

The previous prime is 1540413913967. The next prime is 1540413914021. The reversal of 1540413914004 is 4004193140451.

1540413914004 is a `hidden beast` number, since 1 + 540 + 41 + 39 + 1 + 40 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1540413914004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3056376562 + ... + 3056377065.

Almost surely, 2^{1540413914004} is an apocalyptic number.

1540413914004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1540413914004 is an abundant number, since it is smaller than the sum of its proper divisors (2909670727180).

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

1540413914004 is a wasteful number, since it uses less digits than its factorization.

1540413914004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6112753644 (or 6112753639 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1540413914004 in words is "one trillion, five hundred forty billion, four hundred thirteen million, nine hundred fourteen thousand, four".