40120654200 has 384 divisors, whose sum is σ = 138328646400. Its totient is φ = 9538560000.

The previous prime is 40120654183. The next prime is 40120654237. The reversal of 40120654200 is 245602104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92657184 + ... + 92657616.

It is an arithmetic number, because the mean of its divisors is an integer number (360230850).

Almost surely, 2^40120654200 is an apocalyptic number.

40120654200 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 40120654200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69164323200).

40120654200 is an abundant number, since it is smaller than the sum of its proper divisors (98207992200).

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

40120654200 is a wasteful number, since it uses less digits than its factorization.

40120654200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 40120654200 in words is "forty billion, one hundred twenty million, six hundred fifty-four thousand, two hundred".