40294942200 has 144 divisors (see below), whose sum is σ = 135787480920. Its totient is φ = 10708504320.

The previous prime is 40294942183. The next prime is 40294942201. The reversal of 40294942200 is 224949204.

40294942200 is a `hidden beast` number, since 402 + 9 + 4 + 9 + 42 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40294942201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489199 + ... + 565601.

Almost surely, 2^40294942200 is an apocalyptic number.

40294942200 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 40294942200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67893740460).

40294942200 is an abundant number, since it is smaller than the sum of its proper divisors (95492538720).

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

40294942200 is a wasteful number, since it uses less digits than its factorization.

40294942200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76718 (or 76706 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40294942200 in words is "forty billion, two hundred ninety-four million, nine hundred forty-two thousand, two hundred".