406621673472 has 384 divisors, whose sum is σ = 1283898470400. Its totient is φ = 112027238400.

The previous prime is 406621673443. The next prime is 406621673533. The reversal of 406621673472 is 274376126604.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156934897 + ... + 156937487.

It is an arithmetic number, because the mean of its divisors is an integer number (3343485600).

Almost surely, 2^406621673472 is an apocalyptic number.

406621673472 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 406621673472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641949235200).

406621673472 is an abundant number, since it is smaller than the sum of its proper divisors (877276796928).

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

406621673472 is a wasteful number, since it uses less digits than its factorization.

406621673472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 406621673472 in words is "four hundred six billion, six hundred twenty-one million, six hundred seventy-three thousand, four hundred seventy-two".