40947379200 has 1980 divisors, whose sum is σ = 196072992192. Its totient is φ = 8360755200.

The previous prime is 40947379189. The next prime is 40947379223. The reversal of 40947379200 is 297374904.

40947379200 is a `hidden beast` number, since 409 + 4 + 7 + 37 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1320883185 + ... + 1320883215.

Almost surely, 2^40947379200 is an apocalyptic number.

40947379200 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 40947379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98036496096).

40947379200 is an abundant number, since it is smaller than the sum of its proper divisors (155125612992).

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

40947379200 is a wasteful number, since it uses less digits than its factorization.

40947379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 40947379200 in words is "forty billion, nine hundred forty-seven million, three hundred seventy-nine thousand, two hundred".