8405401940880 has 480 divisors, whose sum is σ = 30435047746560. Its totient is φ = 1913384954880.

The previous prime is 8405401940869. The next prime is 8405401940909. The reversal of 8405401940880 is 880491045048.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3545086095 + ... + 3545088465.

It is an arithmetic number, because the mean of its divisors is an integer number (63406349472).

Almost surely, 2^{8405401940880} is an apocalyptic number.

8405401940880 is a gapful number since it is divisible by the number (80) 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 8405401940880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15217523873280).

8405401940880 is an abundant number, since it is smaller than the sum of its proper divisors (22029645805680).

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

8405401940880 is a wasteful number, since it uses less digits than its factorization.

8405401940880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 8405401940880 in words is "eight trillion, four hundred five billion, four hundred one million, nine hundred forty thousand, eight hundred eighty".