405778464000 has 1728 divisors, whose sum is σ = 1857931246080. Its totient is φ = 85399142400.

The previous prime is 405778463977. The next prime is 405778464011. The reversal of 405778464000 is 464877504.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1022111802 + ... + 1022112198.

Almost surely, 2^405778464000 is an apocalyptic number.

405778464000 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 405778464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928965623040).

405778464000 is an abundant number, since it is smaller than the sum of its proper divisors (1452152782080).

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

405778464000 is a wasteful number, since it uses less digits than its factorization.

405778464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 427 counting only the distinct ones).

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

The spelling of 405778464000 in words is "four hundred five billion, seven hundred seventy-eight million, four hundred sixty-four thousand".