541227763440 has 2400 divisors, whose sum is σ = 2540232414720. Its totient is φ = 105533632512.

The previous prime is 541227763409. The next prime is 541227763469. The reversal of 541227763440 is 44367722145.

541227763440 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 2 + 7 + 7 + 634 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5254638429 + ... + 5254638531.

Almost surely, 2^541227763440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541227763440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270116207360).

541227763440 is an abundant number, since it is smaller than the sum of its proper divisors (1999004651280).

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

541227763440 is a wasteful number, since it uses less digits than its factorization.

541227763440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 541227763440 in words is "five hundred forty-one billion, two hundred twenty-seven million, seven hundred sixty-three thousand, four hundred forty".