406921241341440 has 1920 divisors, whose sum is σ = 1766660962176000. Its totient is φ = 86947395010560.

The previous prime is 406921241341409. The next prime is 406921241341469. The reversal of 406921241341440 is 44143142129604.

406921241341440 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 21 + 241 + 341 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×406921241341440² (a number of 30 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 20834624475 + ... + 20834644005.

It is an arithmetic number, because the mean of its divisors is an integer number (920135917800).

Almost surely, 2^{406921241341440} is an apocalyptic number.

406921241341440 is a gapful number since it is divisible by the number (40) 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 406921241341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883330481088000).

406921241341440 is an abundant number, since it is smaller than the sum of its proper divisors (1359739720834560).

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

406921241341440 is a wasteful number, since it uses less digits than its factorization.

406921241341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19753 (or 19714 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 406921241341440 in words is "four hundred six trillion, nine hundred twenty-one billion, two hundred forty-one million, three hundred forty-one thousand, four hundred forty".