1641226124340 has 288 divisors, whose sum is σ = 5820266140416. Its totient is φ = 370288005120.

The previous prime is 1641226124297. The next prime is 1641226124347. The reversal of 1641226124340 is 434216221461.

1641226124340 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 2 + 2 + 612 + 4 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1641226124295 and 1641226124304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641226124347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1197964 + ... + 2171996.

It is an arithmetic number, because the mean of its divisors is an integer number (20209257432).

Almost surely, 2^{1641226124340} is an apocalyptic number.

1641226124340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1641226124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910133070208).

1641226124340 is an abundant number, since it is smaller than the sum of its proper divisors (4179040016076).

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

1641226124340 is a wasteful number, since it uses less digits than its factorization.

1641226124340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974119 (or 974114 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1641226124340 in words is "one trillion, six hundred forty-one billion, two hundred twenty-six million, one hundred twenty-four thousand, three hundred forty".