408898477232640 has 960 divisors, whose sum is σ = 1562041317957120. Its totient is φ = 98425220628480.

The previous prime is 408898477232617. The next prime is 408898477232653. The reversal of 408898477232640 is 46232774898804.

408898477232640 is a `hidden beast` number, since 4 + 0 + 8 + 8 + 98 + 477 + 2 + 3 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 947258137 + ... + 947689703.

It is an arithmetic number, because the mean of its divisors is an integer number (1627126372872).

Almost surely, 2^{408898477232640} is an apocalyptic number.

408898477232640 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 408898477232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781020658978560).

408898477232640 is an abundant number, since it is smaller than the sum of its proper divisors (1153142840724480).

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

408898477232640 is a wasteful number, since it uses less digits than its factorization.

408898477232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431713 (or 431694 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 408898477232640 in words is "four hundred eight trillion, eight hundred ninety-eight billion, four hundred seventy-seven million, two hundred thirty-two thousand, six hundred forty".