7405705440 has 144 divisors (see below), whose sum is σ = 28882290528. Its totient is φ = 1692730368.

The previous prime is 7405705399. The next prime is 7405705519. The reversal of 7405705440 is 445075047.

7405705440 is a `hidden beast` number, since 7 + 40 + 5 + 70 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7405705395 and 7405705404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357267 + ... + 377426.

It is an arithmetic number, because the mean of its divisors is an integer number (200571462).

Almost surely, 2^7405705440 is an apocalyptic number.

7405705440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7405705440 is an abundant number, since it is smaller than the sum of its proper divisors (21476585088).

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

7405705440 is a wasteful number, since it uses less digits than its factorization.

7405705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734721 (or 734710 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 7405705440 is about 86056.4084772308. The cubic root of 7405705440 is about 1949.1958498860.

The spelling of 7405705440 in words is "seven billion, four hundred five million, seven hundred five thousand, four hundred forty".