145038479040 has 2016 divisors, whose sum is σ = 685763789760. Its totient is φ = 28593782784.

The previous prime is 145038479017. The next prime is 145038479071. The reversal of 145038479040 is 40974830541.

145038479040 is a `hidden beast` number, since 1 + 450 + 38 + 47 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1986828444 + ... + 1986828516.

It is an arithmetic number, because the mean of its divisors is an integer number (340160610).

Almost surely, 2^145038479040 is an apocalyptic number.

145038479040 is a gapful number since it is divisible by the number (10) 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 145038479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342881894880).

145038479040 is an abundant number, since it is smaller than the sum of its proper divisors (540725310720).

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

145038479040 is a wasteful number, since it uses less digits than its factorization.

145038479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 145038479040 in words is "one hundred forty-five billion, thirty-eight million, four hundred seventy-nine thousand, forty".