40338043200 has 1344 divisors, whose sum is σ = 187383562240. Its totient is φ = 8211456000.

The previous prime is 40338043199. The next prime is 40338043259. The reversal of 40338043200 is 234083304.

40338043200 is a `hidden beast` number, since 4 + 0 + 338 + 0 + 4 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 121867035 + ... + 121867365.

Almost surely, 2^40338043200 is an apocalyptic number.

40338043200 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 40338043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93691781120).

40338043200 is an abundant number, since it is smaller than the sum of its proper divisors (147045519040).

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

40338043200 is a wasteful number, since it uses less digits than its factorization.

40338043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 40338043200 in words is "forty billion, three hundred thirty-eight million, forty-three thousand, two hundred".