40218055200 has 576 divisors, whose sum is σ = 149230448640. Its totient is φ = 10581580800.

The previous prime is 40218055121. The next prime is 40218055211. The reversal of 40218055200 is 255081204.

It is a happy number.

40218055200 is a `hidden beast` number, since 40 + 21 + 80 + 5 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222199110 + ... + 222199290.

It is an arithmetic number, because the mean of its divisors is an integer number (259080640).

Almost surely, 2^40218055200 is an apocalyptic number.

40218055200 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 40218055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74615224320).

40218055200 is an abundant number, since it is smaller than the sum of its proper divisors (109012393440).

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

40218055200 is a wasteful number, since it uses less digits than its factorization.

40218055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 40218055200 in words is "forty billion, two hundred eighteen million, fifty-five thousand, two hundred".