40268323200 has 192 divisors, whose sum is σ = 151581726720. Its totient is φ = 9204172800.

The previous prime is 40268323159. The next prime is 40268323211. The reversal of 40268323200 is 232386204.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 232416 + ... + 366815.

It is an arithmetic number, because the mean of its divisors is an integer number (789488160).

Almost surely, 2^40268323200 is an apocalyptic number.

40268323200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40268323200 is an abundant number, since it is smaller than the sum of its proper divisors (111313403520).

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

40268323200 is a wasteful number, since it uses less digits than its factorization.

40268323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599265 (or 599248 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 40268323200 in words is "forty billion, two hundred sixty-eight million, three hundred twenty-three thousand, two hundred".