405867047040 has 1728 divisors, whose sum is σ = 1805841423360. Its totient is φ = 83691159552.

The previous prime is 405867046999. The next prime is 405867047041. The reversal of 405867047040 is 40740768504.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405867047041) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3195803457 + ... + 3195803583.

It is an arithmetic number, because the mean of its divisors is an integer number (1045047120).

Almost surely, 2^405867047040 is an apocalyptic number.

405867047040 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 405867047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902920711680).

405867047040 is an abundant number, since it is smaller than the sum of its proper divisors (1399974376320).

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

405867047040 is a wasteful number, since it uses less digits than its factorization.

405867047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 405867047040 in words is "four hundred five billion, eight hundred sixty-seven million, forty-seven thousand, forty".