396449090777088 has 312 divisors, whose sum is σ = 1204402055575680. Its totient is φ = 125473825751040.

The previous prime is 396449090776987. The next prime is 396449090777123. The reversal of 396449090777088 is 880777090944693.

396449090777088 is a `hidden beast` number, since 3 + 9 + 6 + 449 + 0 + 90 + 7 + 7 + 7 + 0 + 88 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 396449090776998 and 396449090777016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57294768 + ... + 63840336.

It is an arithmetic number, because the mean of its divisors is an integer number (3860262998640).

Almost surely, 2^{396449090777088} 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 396449090777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602201027787840).

396449090777088 is an abundant number, since it is smaller than the sum of its proper divisors (807952964798592).

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

396449090777088 is a wasteful number, since it uses less digits than its factorization.

396449090777088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545683 (or 6545658 counting only the distinct ones).

The product of its (nonzero) digits is 4608866304, while the sum is 81.

The spelling of 396449090777088 in words is "three hundred ninety-six trillion, four hundred forty-nine billion, ninety million, seven hundred seventy-seven thousand, eighty-eight".