406625640120 has 768 divisors, whose sum is σ = 1614577536000. Its totient is φ = 86693068800.

The previous prime is 406625640107. The next prime is 406625640131. The reversal of 406625640120 is 21046526604.

406625640120 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 2 + 5 + 640 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×406625640120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1511619346 + ... + 1511619614.

It is an arithmetic number, because the mean of its divisors is an integer number (2102314500).

Almost surely, 2^406625640120 is an apocalyptic number.

406625640120 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 406625640120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807288768000).

406625640120 is an abundant number, since it is smaller than the sum of its proper divisors (1207951895880).

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

406625640120 is a wasteful number, since it uses less digits than its factorization.

406625640120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 406625640120 in words is "four hundred six billion, six hundred twenty-five million, six hundred forty thousand, one hundred twenty".