40278124800 has 756 divisors, whose sum is σ = 152711358660. Its totient is φ = 10510663680.

The previous prime is 40278124793. The next prime is 40278124847. The reversal of 40278124800 is 842187204.

40278124800 is a `hidden beast` number, since 402 + 7 + 8 + 1 + 248 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4311760896 + 35966363904 = 65664^2 + 189648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 415238352 + ... + 415238448.

Almost surely, 2^40278124800 is an apocalyptic number.

40278124800 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 40278124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76355679330).

40278124800 is an abundant number, since it is smaller than the sum of its proper divisors (112433233860).

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

40278124800 is an frugal number, since it uses more digits than its factorization.

40278124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 40278124800 in words is "forty billion, two hundred seventy-eight million, one hundred twenty-four thousand, eight hundred".