40779878400 has 234 divisors, whose sum is σ = 146068055250. Its totient is φ = 10874388480.

The previous prime is 40779878369. The next prime is 40779878401. The reversal of 40779878400 is 487897704.

It can be written as a sum of positive squares in 3 ways, for example, as 291999744 + 40487878656 = 17088^2 + 201216^2 .

It is not an unprimeable number, because it can be changed into a prime (40779878401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 899476 + ... + 943724.

Almost surely, 2^40779878400 is an apocalyptic number.

40779878400 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 40779878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73034027625).

40779878400 is an abundant number, since it is smaller than the sum of its proper divisors (105288176850).

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

40779878400 is a wasteful number, since it uses less digits than its factorization.

40779878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44289 (or 44259 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 40779878400 in words is "forty billion, seven hundred seventy-nine million, eight hundred seventy-eight thousand, four hundred".