405761030400 has 432 divisors, whose sum is σ = 1485637413120. Its totient is φ = 96696115200.

The previous prime is 405761030393. The next prime is 405761030483. The reversal of 405761030400 is 4030167504.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12444519 + ... + 12477081.

Almost surely, 2^405761030400 is an apocalyptic number.

405761030400 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 405761030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742818706560).

405761030400 is an abundant number, since it is smaller than the sum of its proper divisors (1079876382720).

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

405761030400 is a wasteful number, since it uses less digits than its factorization.

405761030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32662 (or 32643 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 405761030400 its reverse (4030167504), we get a palindrome (409791197904).

The spelling of 405761030400 in words is "four hundred five billion, seven hundred sixty-one million, thirty thousand, four hundred".