40298731200 has 2016 divisors, whose sum is σ = 196456425984. Its totient is φ = 7882997760.

The previous prime is 40298731199. The next prime is 40298731303. The reversal of 40298731200 is 213789204.

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

It is a super-3 number, since 3×40298731200³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 601473567 + ... + 601473633.

It is an arithmetic number, because the mean of its divisors is an integer number (97448624).

Almost surely, 2^40298731200 is an apocalyptic number.

40298731200 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 40298731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98228212992).

40298731200 is an abundant number, since it is smaller than the sum of its proper divisors (156157694784).

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

40298731200 is a wasteful number, since it uses less digits than its factorization.

40298731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 40298731200 in words is "forty billion, two hundred ninety-eight million, seven hundred thirty-one thousand, two hundred".