40145939280 has 200 divisors, whose sum is σ = 147635128872. Its totient is φ = 10075815936.

The previous prime is 40145939279. The next prime is 40145939293. The reversal of 40145939280 is 8293954104.

40145939280 is a `hidden beast` number, since 40 + 14 + 593 + 9 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10497231936 + 29648707344 = 102456^2 + 172188^2 .

It is a super-2 number, since 2×40145939280² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72057 + ... + 292376.

Almost surely, 2^40145939280 is an apocalyptic number.

40145939280 is a gapful number since it is divisible by the number (40) 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 40145939280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73817564436).

40145939280 is an abundant number, since it is smaller than the sum of its proper divisors (107489189592).

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

40145939280 is a wasteful number, since it uses less digits than its factorization.

40145939280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364475 (or 364460 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 40145939280 in words is "forty billion, one hundred forty-five million, nine hundred thirty-nine thousand, two hundred eighty".