40882472928 has 240 divisors, whose sum is σ = 131555660544. Its totient is φ = 12351709440.

The previous prime is 40882472923. The next prime is 40882472987. The reversal of 40882472928 is 82927428804.

40882472928 is a `hidden beast` number, since 4 + 0 + 8 + 82 + 472 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40882472923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10461951 + ... + 10465857.

Almost surely, 2^40882472928 is an apocalyptic number.

40882472928 is a gapful number since it is divisible by the number (48) 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 40882472928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65777830272).

40882472928 is an abundant number, since it is smaller than the sum of its proper divisors (90673187616).

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

40882472928 is a wasteful number, since it uses less digits than its factorization.

40882472928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 40882472928 in words is "forty billion, eight hundred eighty-two million, four hundred seventy-two thousand, nine hundred twenty-eight".