405097799449248 has 576 divisors, whose sum is σ = 1300478414272128. Its totient is φ = 123525858263040.

The previous prime is 405097799449193. The next prime is 405097799449267. The reversal of 405097799449248 is 842944997790504.

405097799449248 is a `hidden beast` number, since 4 + 0 + 50 + 9 + 7 + 79 + 9 + 4 + 492 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 4749219336 + ... + 4749304632.

It is an arithmetic number, because the mean of its divisors is an integer number (2257775024778).

Almost surely, 2^{405097799449248} is an apocalyptic number.

405097799449248 is a gapful number since it is divisible by the number (48) 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 405097799449248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650239207136064).

405097799449248 is an abundant number, since it is smaller than the sum of its proper divisors (895380614822880).

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

405097799449248 is a wasteful number, since it uses less digits than its factorization.

405097799449248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86347 (or 86327 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 81.

The spelling of 405097799449248 in words is "four hundred five trillion, ninety-seven billion, seven hundred ninety-nine million, four hundred forty-nine thousand, two hundred forty-eight".