40874803200 has 1140 divisors, whose sum is σ = 188793651552. Its totient is φ = 8493465600.

The previous prime is 40874803199. The next prime is 40874803223. The reversal of 40874803200 is 230847804.

It is a Jordan-Polya number, since it can be written as 11! ⋅ (2!)¹⁰.

40874803200 is a `hidden beast` number, since 408 + 7 + 48 + 0 + 3 + 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3715891195 + ... + 3715891205.

Almost surely, 2^40874803200 is an apocalyptic number.

40874803200 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 40874803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94396825776).

40874803200 is an abundant number, since it is smaller than the sum of its proper divisors (147918848352).

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

40874803200 is an frugal number, since it uses more digits than its factorization.

40874803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 40874803200 in words is "forty billion, eight hundred seventy-four million, eight hundred three thousand, two hundred".