40153283200 has 192 divisors, whose sum is σ = 103851210240. Its totient is φ = 15321600000.

The previous prime is 40153283179. The next prime is 40153283213. The reversal of 40153283200 is 238235104.

It is a super-2 number, since 2×40153283200² (a number of 22 digits) contains 22 as substring.

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, 7040350 + ... + 7046050.

It is an arithmetic number, because the mean of its divisors is an integer number (540891720).

Almost surely, 2^40153283200 is an apocalyptic number.

40153283200 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 40153283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51925605120).

40153283200 is an abundant number, since it is smaller than the sum of its proper divisors (63697927040).

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

40153283200 is a wasteful number, since it uses less digits than its factorization.

40153283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5827 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 40153283200 in words is "forty billion, one hundred fifty-three million, two hundred eighty-three thousand, two hundred".