407206798020 has 576 divisors, whose sum is σ = 1489005213696. Its totient is φ = 92319160320.

The previous prime is 407206797997. The next prime is 407206798073. The reversal of 407206798020 is 20897602704.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151771599 + ... + 151774281.

It is an arithmetic number, because the mean of its divisors is an integer number (2585078496).

Almost surely, 2^407206798020 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 407206798020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744502606848).

407206798020 is an abundant number, since it is smaller than the sum of its proper divisors (1081798415676).

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

407206798020 is a wasteful number, since it uses less digits than its factorization.

407206798020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 407206798020 in words is "four hundred seven billion, two hundred six million, seven hundred ninety-eight thousand, twenty".