407273261267420 has 96 divisors (see below), whose sum is σ = 883055494702080. Its totient is φ = 157664467215360.

The previous prime is 407273261267387. The next prime is 407273261267437. The reversal of 407273261267420 is 24762162372704.

It is a super-3 number, since 3×407273261267420³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1982756162 + ... + 1982961558.

It is an arithmetic number, because the mean of its divisors is an integer number (9198494736480).

Almost surely, 2^{407273261267420} 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 407273261267420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441527747351040).

407273261267420 is an abundant number, since it is smaller than the sum of its proper divisors (475782233434660).

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

407273261267420 is a wasteful number, since it uses less digits than its factorization.

407273261267420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219663 (or 219661 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 53.

The spelling of 407273261267420 in words is "four hundred seven trillion, two hundred seventy-three billion, two hundred sixty-one million, two hundred sixty-seven thousand, four hundred twenty".