541680294240 has 240 divisors, whose sum is σ = 2024132628672. Its totient is φ = 135951077376.

The previous prime is 541680294229. The next prime is 541680294241. The reversal of 541680294240 is 42492086145.

It is a happy number.

541680294240 is a `hidden beast` number, since 5 + 41 + 6 + 80 + 294 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541680294241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1008984 + ... + 1449623.

Almost surely, 2^541680294240 is an apocalyptic number.

It is an amenable number.

541680294240 is an abundant number, since it is smaller than the sum of its proper divisors (1482452334432).

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

541680294240 is a wasteful number, since it uses less digits than its factorization.

541680294240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458651 (or 2458634 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 541680294240 in words is "five hundred forty-one billion, six hundred eighty million, two hundred ninety-four thousand, two hundred forty".