541981873440 has 2688 divisors, whose sum is σ = 2538418176000. Its totient is φ = 108637562880.

The previous prime is 541981873369. The next prime is 541981873457. The reversal of 541981873440 is 44378189145.

541981873440 is a `hidden beast` number, since 5 + 4 + 19 + 8 + 187 + 3 + 440 = 666.

It is a super-2 number, since 2×541981873440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 17483286225 + ... + 17483286255.

It is an arithmetic number, because the mean of its divisors is an integer number (944352000).

Almost surely, 2^541981873440 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 541981873440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269209088000).

541981873440 is an abundant number, since it is smaller than the sum of its proper divisors (1996436302560).

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

541981873440 is a wasteful number, since it uses less digits than its factorization.

541981873440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 541981873440 in words is "five hundred forty-one billion, nine hundred eighty-one million, eight hundred seventy-three thousand, four hundred forty".