409979283840 has 640 divisors, whose sum is σ = 1707491016000. Its totient is φ = 93705486336.

The previous prime is 409979283811. The next prime is 409979283841. The reversal of 409979283840 is 48382979904.

409979283840 is a `hidden beast` number, since 409 + 9 + 79 + 2 + 83 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409979283841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17769592 + ... + 17792648.

Almost surely, 2^409979283840 is an apocalyptic number.

409979283840 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 409979283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853745508000).

409979283840 is an abundant number, since it is smaller than the sum of its proper divisors (1297511732160).

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

409979283840 is an equidigital number, since it uses as much as digits as its factorization.

409979283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23109 (or 23074 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 409979283840 in words is "four hundred nine billion, nine hundred seventy-nine million, two hundred eighty-three thousand, eight hundred forty".