407940543360 has 384 divisors, whose sum is σ = 1619811048960. Its totient is φ = 92670013440.

The previous prime is 407940543359. The next prime is 407940543403. The reversal of 407940543360 is 63345049704.

407940543360 is a `hidden beast` number, since 4 + 0 + 7 + 9 + 40 + 543 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6541125 + ... + 6603195.

It is an arithmetic number, because the mean of its divisors is an integer number (4218257940).

Almost surely, 2^407940543360 is an apocalyptic number.

407940543360 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 407940543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809905524480).

407940543360 is an abundant number, since it is smaller than the sum of its proper divisors (1211870505600).

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

407940543360 is a wasteful number, since it uses less digits than its factorization.

407940543360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62266 (or 62251 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 407940543360 in words is "four hundred seven billion, nine hundred forty million, five hundred forty-three thousand, three hundred sixty".