541670379840 has 2240 divisors, whose sum is σ = 2342078323200. Its totient is φ = 117719433216.

The previous prime is 541670379791. The next prime is 541670379851. The reversal of 541670379840 is 48973076145.

541670379840 is a `hidden beast` number, since 5 + 416 + 70 + 37 + 98 + 40 = 666.

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 319 ways as a sum of consecutive naturals, for example, 5584230672 + ... + 5584230768.

It is an arithmetic number, because the mean of its divisors is an integer number (1045570680).

Almost surely, 2^541670379840 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 541670379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171039161600).

541670379840 is an abundant number, since it is smaller than the sum of its proper divisors (1800407943360).

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

541670379840 is a wasteful number, since it uses less digits than its factorization.

541670379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 541670379840 in words is "five hundred forty-one billion, six hundred seventy million, three hundred seventy-nine thousand, eight hundred forty".