404039849213952 has 2352 divisors, whose sum is σ = 1496339048870400. Its totient is φ = 108772756291584.

The previous prime is 404039849213911. The next prime is 404039849213983. The reversal of 404039849213952 is 259312948930404.

404039849213952 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 3 + 9 + 8 + 492 + 139 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 404039849213952.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6030445510623 + ... + 6030445510689.

It is an arithmetic number, because the mean of its divisors is an integer number (636198575200).

Almost surely, 2^{404039849213952} is an apocalyptic number.

404039849213952 is a gapful number since it is divisible by the number (42) 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 404039849213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748169524435200).

404039849213952 is an abundant number, since it is smaller than the sum of its proper divisors (1092299199656448).

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

404039849213952 is an frugal number, since it uses more digits than its factorization.

404039849213952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

It can be divided in two parts, 40403984 and 9213952, that added together give a square (49617936 = 7044²).

The spelling of 404039849213952 in words is "four hundred four trillion, thirty-nine billion, eight hundred forty-nine million, two hundred thirteen thousand, nine hundred fifty-two".