40723870521600 has 2430 divisors, whose sum is σ = 184904018545554. Its totient is φ = 8816416358400.

The previous prime is 40723870521599. The next prime is 40723870521661. The reversal of 40723870521600 is 612507832704.

40723870521600 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 38 + 7 + 0 + 5 + 2 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1502409129984 + 39221461391616 = 1225728^2 + 6262704^2 .

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

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 9169975380 + ... + 9169979820.

Almost surely, 2^{40723870521600} is an apocalyptic number.

40723870521600 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 40723870521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92452009272777).

40723870521600 is an abundant number, since it is smaller than the sum of its proper divisors (144180148023954).

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

40723870521600 is a wasteful number, since it uses less digits than its factorization.

40723870521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 40723870521600 in words is "forty trillion, seven hundred twenty-three billion, eight hundred seventy million, five hundred twenty-one thousand, six hundred".