408064515840 has 432 divisors, whose sum is σ = 1432333899360. Its totient is φ = 107247697920.

The previous prime is 408064515797. The next prime is 408064515899. The reversal of 408064515840 is 48515460804.

It is a happy number.

408064515840 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 64 + 5 + 1 + 584 + 0 = 666.

It is a super-2 number, since 2×408064515840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536221060 + ... + 536221820.

It is an arithmetic number, because the mean of its divisors is an integer number (3315587730).

Almost surely, 2^408064515840 is an apocalyptic number.

408064515840 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 408064515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716166949680).

408064515840 is an abundant number, since it is smaller than the sum of its proper divisors (1024269383520).

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

408064515840 is a wasteful number, since it uses less digits than its factorization.

408064515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 408064515840 in words is "four hundred eight billion, sixty-four million, five hundred fifteen thousand, eight hundred forty".