405824891040 has 576 divisors, whose sum is σ = 1550386656000. Its totient is φ = 99938893824.

The previous prime is 405824890979. The next prime is 405824891053. The reversal of 405824891040 is 40198428504.

405824891040 is a `hidden beast` number, since 40 + 5 + 82 + 489 + 10 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25925136 + ... + 25940784.

It is an arithmetic number, because the mean of its divisors is an integer number (2691643500).

Almost surely, 2^405824891040 is an apocalyptic number.

405824891040 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 405824891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775193328000).

405824891040 is an abundant number, since it is smaller than the sum of its proper divisors (1144561764960).

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

405824891040 is a wasteful number, since it uses less digits than its factorization.

405824891040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15731 (or 15711 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 405824891040 in words is "four hundred five billion, eight hundred twenty-four million, eight hundred ninety-one thousand, forty".