405448763440 has 240 divisors, whose sum is σ = 1117619074944. Its totient is φ = 136355788800.

The previous prime is 405448763431. The next prime is 405448763459. The reversal of 405448763440 is 44367844504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 94928505 + ... + 94932775.

Almost surely, 2^405448763440 is an apocalyptic number.

405448763440 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 405448763440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558809537472).

405448763440 is an abundant number, since it is smaller than the sum of its proper divisors (712170311504).

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

405448763440 is a wasteful number, since it uses less digits than its factorization.

405448763440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 49.

The spelling of 405448763440 in words is "four hundred five billion, four hundred forty-eight million, seven hundred sixty-three thousand, four hundred forty".