40282872300 has 324 divisors, whose sum is σ = 140883470728. Its totient is φ = 9618048000.

The previous prime is 40282872299. The next prime is 40282872341. The reversal of 40282872300 is 327828204.

40282872300 is a `hidden beast` number, since 4 + 0 + 282 + 8 + 72 + 300 = 666.

40282872300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 107 ways as a sum of consecutive naturals, for example, 7293540 + ... + 7299060.

Almost surely, 2^40282872300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40282872300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70441735364).

40282872300 is an abundant number, since it is smaller than the sum of its proper divisors (100600598428).

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

40282872300 is a wasteful number, since it uses less digits than its factorization.

40282872300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 40282872300 in words is "forty billion, two hundred eighty-two million, eight hundred seventy-two thousand, three hundred".