407408905034096 has 320 divisors, whose sum is σ = 1000145522304000. Its totient is φ = 156784986243072.

The previous prime is 407408905034057. The next prime is 407408905034143. The reversal of 407408905034096 is 690430509804704.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a congruent number.

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, 1649980055 + ... + 1650226953.

It is an arithmetic number, because the mean of its divisors is an integer number (3125454757200).

Almost surely, 2^{407408905034096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407408905034096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500072761152000).

407408905034096 is an abundant number, since it is smaller than the sum of its proper divisors (592736617269904).

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

407408905034096 is a wasteful number, since it uses less digits than its factorization.

407408905034096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247424 (or 247418 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 407408905034096 in words is "four hundred seven trillion, four hundred eight billion, nine hundred five million, thirty-four thousand, ninety-six".