40917920400 has 270 divisors, whose sum is σ = 165180372162. Its totient is φ = 9352627200.

The previous prime is 40917920371. The next prime is 40917920401. The reversal of 40917920400 is 402971904.

It can be written as a sum of positive squares in 3 ways, for example, as 3947860224 + 36970060176 = 62832^2 + 192276^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40917920401) 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 53 ways as a sum of consecutive naturals, for example, 60420 + ... + 292380.

Almost surely, 2^40917920400 is an apocalyptic number.

40917920400 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 40917920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82590186081).

40917920400 is an abundant number, since it is smaller than the sum of its proper divisors (124262451762).

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

40917920400 is a wasteful number, since it uses less digits than its factorization.

40917920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231999 (or 231978 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 40917920400 in words is "forty billion, nine hundred seventeen million, nine hundred twenty thousand, four hundred".