404048786400 has 1728 divisors, whose sum is σ = 1787385600000. Its totient is φ = 85593231360.

The previous prime is 404048786399. The next prime is 404048786467. The reversal of 404048786400 is 4687840404.

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 287 ways as a sum of consecutive naturals, for example, 3706869546 + ... + 3706869654.

Almost surely, 2^404048786400 is an apocalyptic number.

404048786400 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 404048786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893692800000).

404048786400 is an abundant number, since it is smaller than the sum of its proper divisors (1383336813600).

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

404048786400 is a wasteful number, since it uses less digits than its factorization.

404048786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 404048786400 in words is "four hundred four billion, forty-eight million, seven hundred eighty-six thousand, four hundred".