541373840 has 320 divisors, whose sum is σ = 1664893440. Its totient is φ = 159252480.

The previous prime is 541373809. The next prime is 541373851. The reversal of 541373840 is 48373145.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 541373840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7416044 + ... + 7416116.

It is an arithmetic number, because the mean of its divisors is an integer number (5202792).

Almost surely, 2^541373840 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 541373840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832446720).

541373840 is an abundant number, since it is smaller than the sum of its proper divisors (1123519600).

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

541373840 is a wasteful number, since it uses less digits than its factorization.

541373840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 541373840 is about 23267.4416298827. The cubic root of 541373840 is about 815.0152882073.

The spelling of 541373840 in words is "five hundred forty-one million, three hundred seventy-three thousand, eight hundred forty".