405672042048 has 448 divisors, whose sum is σ = 1367169914880. Its totient is φ = 103311065088.

The previous prime is 405672042037. The next prime is 405672042067. The reversal of 405672042048 is 840240276504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66862311 + ... + 66868377.

It is an arithmetic number, because the mean of its divisors is an integer number (3051718560).

Almost surely, 2^405672042048 is an apocalyptic number.

405672042048 is a gapful number since it is divisible by the number (48) 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 405672042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683584957440).

405672042048 is an abundant number, since it is smaller than the sum of its proper divisors (961497872832).

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

405672042048 is a wasteful number, since it uses less digits than its factorization.

405672042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 405672042048 in words is "four hundred five billion, six hundred seventy-two million, forty-two thousand, forty-eight".