407426357020 has 72 divisors (see below), whose sum is σ = 878062413312. Its totient is φ = 158798077440.

The previous prime is 407426357017. The next prime is 407426357033. The reversal of 407426357020 is 20753624704.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28670757 + ... + 28684963.

It is an arithmetic number, because the mean of its divisors is an integer number (12195311296).

Almost surely, 2^407426357020 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 407426357020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439031206656).

407426357020 is an abundant number, since it is smaller than the sum of its proper divisors (470636056292).

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

407426357020 is a wasteful number, since it uses less digits than its factorization.

407426357020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15151 (or 15108 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 407426357020 in words is "four hundred seven billion, four hundred twenty-six million, three hundred fifty-seven thousand, twenty".