40948727040 has 1296 divisors, whose sum is σ = 171555209280. Its totient is φ = 9316270080.

The previous prime is 40948727003. The next prime is 40948727047. The reversal of 40948727040 is 4072784904.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40948727047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 998749420 + ... + 998749460.

Almost surely, 2^40948727040 is an apocalyptic number.

40948727040 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 40948727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85777604640).

40948727040 is an abundant number, since it is smaller than the sum of its proper divisors (130606482240).

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

40948727040 is a wasteful number, since it uses less digits than its factorization.

40948727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 40948727040 in words is "forty billion, nine hundred forty-eight million, seven hundred twenty-seven thousand, forty".