408125358579456 has 864 divisors, whose sum is σ = 1380887601020928. Its totient is φ = 113509474467840.

The previous prime is 408125358579437. The next prime is 408125358579457. The reversal of 408125358579456 is 654975853521804.

It is a happy number.

408125358579456 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 2 + 5 + 3 + 5 + 8 + 579 + 45 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408125358579457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115257089046 + ... + 115257092586.

It is a 1-persistent number, because it is pandigital, but 2⋅408125358579456 = 816250717158912 is not.

Almost surely, 2^{408125358579456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408125358579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690443800510464).

408125358579456 is an abundant number, since it is smaller than the sum of its proper divisors (972762242441472).

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

408125358579456 is a wasteful number, since it uses less digits than its factorization.

408125358579456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 1451520000, while the sum is 72.

The spelling of 408125358579456 in words is "four hundred eight trillion, one hundred twenty-five billion, three hundred fifty-eight million, five hundred seventy-nine thousand, four hundred fifty-six".