1445756040 has 80 divisors (see below), whose sum is σ = 4859357580. Its totient is φ = 385534080.

The previous prime is 1445756029. The next prime is 1445756051. The reversal of 1445756040 is 406575441.

1445756040 is a `hidden beast` number, since 1 + 4 + 4 + 57 + 560 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1445756029) and next prime (1445756051).

It can be written as a sum of positive squares in 2 ways, for example, as 1432925316 + 12830724 = 37854^2 + 3582^2 .

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 = 1445755986 and 1445756004.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219871 + ... + 226350.

Almost surely, 2^1445756040 is an apocalyptic number.

1445756040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1445756040 is an abundant number, since it is smaller than the sum of its proper divisors (3413601540).

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

1445756040 is a wasteful number, since it uses less digits than its factorization.

1445756040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446244 (or 446231 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1445756040 is about 38023.0987690377. The cubic root of 1445756040 is about 1130.7458568199.

The spelling of 1445756040 in words is "one billion, four hundred forty-five million, seven hundred fifty-six thousand, forty".