40823377920 has 624 divisors, whose sum is σ = 158283146112. Its totient is φ = 10032906240.

The previous prime is 40823377919. The next prime is 40823377921. The reversal of 40823377920 is 2977332804.

40823377920 is a `hidden beast` number, since 408 + 233 + 7 + 7 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40823377919) and next prime (40823377921).

It is a tau number, because it is divible by the number of its divisors (624).

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 (40823377921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64696005 + ... + 64696635.

It is an arithmetic number, because the mean of its divisors is an integer number (253658888).

Almost surely, 2^40823377920 is an apocalyptic number.

40823377920 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 40823377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79141573056).

40823377920 is an abundant number, since it is smaller than the sum of its proper divisors (117459768192).

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

40823377920 is an equidigital number, since it uses as much as digits as its factorization.

40823377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 40823377920 in words is "forty billion, eight hundred twenty-three million, three hundred seventy-seven thousand, nine hundred twenty".