407727601920 has 864 divisors, whose sum is σ = 1556566502400. Its totient is φ = 98190360576.

The previous prime is 407727601903. The next prime is 407727601961. The reversal of 407727601920 is 29106727704.

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 95 ways as a sum of consecutive naturals, for example, 361139916 + ... + 361141044.

It is an arithmetic number, because the mean of its divisors is an integer number (1801581600).

Almost surely, 2^407727601920 is an apocalyptic number.

407727601920 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 407727601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778283251200).

407727601920 is an abundant number, since it is smaller than the sum of its proper divisors (1148838900480).

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

407727601920 is a wasteful number, since it uses less digits than its factorization.

407727601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 407727601920 in words is "four hundred seven billion, seven hundred twenty-seven million, six hundred one thousand, nine hundred twenty".