40794910200 has 768 divisors, whose sum is σ = 164882304000. Its totient is φ = 9160704000.

The previous prime is 40794910199. The next prime is 40794910213. The reversal of 40794910200 is 201949704.

40794910200 is a `hidden beast` number, since 407 + 9 + 49 + 1 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71695516 + ... + 71696084.

It is an arithmetic number, because the mean of its divisors is an integer number (214690500).

Almost surely, 2^40794910200 is an apocalyptic number.

40794910200 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 40794910200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82441152000).

40794910200 is an abundant number, since it is smaller than the sum of its proper divisors (124087393800).

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

40794910200 is a wasteful number, since it uses less digits than its factorization.

40794910200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 40794910200 in words is "forty billion, seven hundred ninety-four million, nine hundred ten thousand, two hundred".