408856488040000 has 2835 divisors, whose sum is σ = 1417738199149503. Its totient is φ = 116468352000000.

The previous prime is 408856488039983. The next prime is 408856488040001. The reversal of 408856488040000 is 40884658804.

It is a happy number.

The square root of 408856488040000 is 20220200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 405674060387904 + 3182427652096 = 20141352^2 + 1783936^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (408856488040001) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 4048084039950 + ... + 4048084040050.

Almost surely, 2^{408856488040000} is an apocalyptic number.

408856488040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

408856488040000 is the 20220200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408856488040000

408856488040000 is an abundant number, since it is smaller than the sum of its proper divisors (1008881711109503).

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

408856488040000 is a wasteful number, since it uses less digits than its factorization.

408856488040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 55.

The spelling of 408856488040000 in words is "four hundred eight trillion, eight hundred fifty-six billion, four hundred eighty-eight million, forty thousand".