407678605440 has 64 divisors (see below), whose sum is σ = 1299475560960. Its totient is φ = 108714294272.

The previous prime is 407678605417. The next prime is 407678605489. The reversal of 407678605440 is 44506876704.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 106164384 + ... + 106168223.

It is an arithmetic number, because the mean of its divisors is an integer number (20304305640).

Almost surely, 2^407678605440 is an apocalyptic number.

407678605440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407678605440 is an abundant number, since it is smaller than the sum of its proper divisors (891796955520).

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

407678605440 is a wasteful number, since it uses less digits than its factorization.

407678605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212332629 (or 212332617 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 407678605440 in words is "four hundred seven billion, six hundred seventy-eight million, six hundred five thousand, four hundred forty".