407716407040 has 144 divisors (see below), whose sum is σ = 983152291968. Its totient is φ = 161997262848.

The previous prime is 407716407031. The next prime is 407716407047. The reversal of 407716407040 is 40704617704.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 407716406984 and 407716407002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407716407047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151961539 + ... + 151964221.

It is an arithmetic number, because the mean of its divisors is an integer number (6827446472).

Almost surely, 2^407716407040 is an apocalyptic number.

407716407040 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 407716407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491576145984).

407716407040 is an abundant number, since it is smaller than the sum of its proper divisors (575435884928).

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

407716407040 is a wasteful number, since it uses less digits than its factorization.

407716407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The spelling of 407716407040 in words is "four hundred seven billion, seven hundred sixteen million, four hundred seven thousand, forty".