408688377552 has 640 divisors, whose sum is σ = 1523902464000. Its totient is φ = 101836984320.

The previous prime is 408688377541. The next prime is 408688377553. The reversal of 408688377552 is 255773886804.

408688377552 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 8 + 8 + 3 + 77 + 552 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 408688377552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408688377553) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 537040852 + ... + 537041612.

It is an arithmetic number, because the mean of its divisors is an integer number (2381097600).

Almost surely, 2^408688377552 is an apocalyptic number.

408688377552 is a gapful number since it is divisible by the number (42) 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 408688377552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761951232000).

408688377552 is an abundant number, since it is smaller than the sum of its proper divisors (1115214086448).

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

408688377552 is a wasteful number, since it uses less digits than its factorization.

408688377552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 408688377552 in words is "four hundred eight billion, six hundred eighty-eight million, three hundred seventy-seven thousand, five hundred fifty-two".