407163469440 has 768 divisors, whose sum is σ = 1721584005120. Its totient is φ = 80849534976.

The previous prime is 407163469417. The next prime is 407163469459. The reversal of 407163469440 is 44964361704.

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

It is a self number, because there is not a number n which added to its sum of digits gives 407163469440.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20781889 + ... + 20801471.

It is an arithmetic number, because the mean of its divisors is an integer number (2241645840).

Almost surely, 2^407163469440 is an apocalyptic number.

407163469440 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 407163469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860792002560).

407163469440 is an abundant number, since it is smaller than the sum of its proper divisors (1314420535680).

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

407163469440 is a wasteful number, since it uses less digits than its factorization.

407163469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19649 (or 19630 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 407163469440 in words is "four hundred seven billion, one hundred sixty-three million, four hundred sixty-nine thousand, four hundred forty".