406072756320 has 384 divisors, whose sum is σ = 1637865556992. Its totient is φ = 82097971200.

The previous prime is 406072756259. The next prime is 406072756333. The reversal of 406072756320 is 23657270604.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1219050 + ... + 1515990.

It is an arithmetic number, because the mean of its divisors is an integer number (4265274888).

Almost surely, 2^406072756320 is an apocalyptic number.

406072756320 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 406072756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818932778496).

406072756320 is an abundant number, since it is smaller than the sum of its proper divisors (1231792800672).

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

406072756320 is a wasteful number, since it uses less digits than its factorization.

406072756320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297014 (or 297006 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 406072756320 in words is "four hundred six billion, seventy-two million, seven hundred fifty-six thousand, three hundred twenty".