40228392960 has 832 divisors, whose sum is σ = 172364851200. Its totient is φ = 8695185408.

The previous prime is 40228392959. The next prime is 40228392973. The reversal of 40228392960 is 6929382204.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73543407 + ... + 73543953.

Almost surely, 2^40228392960 is an apocalyptic number.

40228392960 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 40228392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86182425600).

40228392960 is an abundant number, since it is smaller than the sum of its proper divisors (132136458240).

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

40228392960 is a wasteful number, since it uses less digits than its factorization.

40228392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 40228392960 in words is "forty billion, two hundred twenty-eight million, three hundred ninety-two thousand, nine hundred sixty".