40953805200 has 1200 divisors, whose sum is σ = 188199164800. Its totient is φ = 8279884800.

The previous prime is 40953805181. The next prime is 40953805229. The reversal of 40953805200 is 250835904.

40953805200 is a `hidden beast` number, since 4 + 0 + 9 + 53 + 80 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 1106859582 + ... + 1106859618.

Almost surely, 2^40953805200 is an apocalyptic number.

40953805200 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 40953805200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94099582400).

40953805200 is an abundant number, since it is smaller than the sum of its proper divisors (147245359600).

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

40953805200 is a wasteful number, since it uses less digits than its factorization.

40953805200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 40953805200 in words is "forty billion, nine hundred fifty-three million, eight hundred five thousand, two hundred".