40978794600 has 576 divisors, whose sum is σ = 146955594240. Its totient is φ = 10218700800.

The previous prime is 40978794581. The next prime is 40978794613. The reversal of 40978794600 is 649787904.

It is a happy number.

40978794600 is a `hidden beast` number, since 40 + 9 + 78 + 79 + 460 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 362644144 + ... + 362644256.

It is an arithmetic number, because the mean of its divisors is an integer number (255131240).

Almost surely, 2^40978794600 is an apocalyptic number.

40978794600 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 40978794600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73477797120).

40978794600 is an abundant number, since it is smaller than the sum of its proper divisors (105976799640).

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

40978794600 is a wasteful number, since it uses less digits than its factorization.

40978794600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 40978794600 in words is "forty billion, nine hundred seventy-eight million, seven hundred ninety-four thousand, six hundred".