40954741200 has 360 divisors, whose sum is σ = 145184651040. Its totient is φ = 10688025600.

The previous prime is 40954741171. The next prime is 40954741213. The reversal of 40954741200 is 214745904.

It is a happy number.

40954741200 is a `hidden beast` number, since 409 + 5 + 4 + 7 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 62146471 + ... + 62147129.

Almost surely, 2^40954741200 is an apocalyptic number.

40954741200 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 40954741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72592325520).

40954741200 is an abundant number, since it is smaller than the sum of its proper divisors (104229909840).

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

40954741200 is a wasteful number, since it uses less digits than its factorization.

40954741200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 40954741200 in words is "forty billion, nine hundred fifty-four million, seven hundred forty-one thousand, two hundred".