40975727040 has 448 divisors, whose sum is σ = 147474432000. Its totient is φ = 10708733952.

The previous prime is 40975727021. The next prime is 40975727069. The reversal of 40975727040 is 4072757904.

40975727040 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 572 + 70 + 4 + 0 = 666.

40975727040 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117408786 + ... + 117409134.

It is an arithmetic number, because the mean of its divisors is an integer number (329184000).

Almost surely, 2^40975727040 is an apocalyptic number.

40975727040 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 40975727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216000).

40975727040 is an abundant number, since it is smaller than the sum of its proper divisors (106498704960).

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

40975727040 is a wasteful number, since it uses less digits than its factorization.

40975727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 40975727040 in words is "forty billion, nine hundred seventy-five million, seven hundred twenty-seven thousand, forty".