7146455040 has 360 divisors, whose sum is σ = 25762726080. Its totient is φ = 1900412928.

The previous prime is 7146455039. The next prime is 7146455089. The reversal of 7146455040 is 405546417.

7146455040 is a `hidden beast` number, since 7 + 1 + 4 + 64 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 7146454986 and 7146455004.

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, 19906381 + ... + 19906739.

It is an arithmetic number, because the mean of its divisors is an integer number (71563128).

Almost surely, 2^7146455040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7146455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881363040).

7146455040 is an abundant number, since it is smaller than the sum of its proper divisors (18616271040).

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

7146455040 is an frugal number, since it uses more digits than its factorization.

7146455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 369 counting only the distinct ones).

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

The square root of 7146455040 is about 84536.7082396754. The cubic root of 7146455040 is about 1926.1800862267.

The spelling of 7146455040 in words is "seven billion, one hundred forty-six million, four hundred fifty-five thousand, forty".