407020854944 has 96 divisors (see below), whose sum is σ = 927453240000. Its totient is φ = 173776343040.

The previous prime is 407020854943. The next prime is 407020854949. The reversal of 407020854944 is 449458020704.

It is not an unprimeable number, because it can be changed into a prime (407020854943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917862 + ... + 3054170.

It is an arithmetic number, because the mean of its divisors is an integer number (9660971250).

Almost surely, 2^407020854944 is an apocalyptic number.

407020854944 is a gapful number since it is divisible by the number (44) 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 407020854944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463726620000).

407020854944 is an abundant number, since it is smaller than the sum of its proper divisors (520432385056).

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

407020854944 is a wasteful number, since it uses less digits than its factorization.

407020854944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136846 (or 136838 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 407020854944 in words is "four hundred seven billion, twenty million, eight hundred fifty-four thousand, nine hundred forty-four".