40506022521600 has 216 divisors, whose sum is σ = 133689288671232. Its totient is φ = 10800719155200.

The previous prime is 40506022521593. The next prime is 40506022521623. The reversal of 40506022521600 is 612522060504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253033585 + ... + 253193615.

Almost surely, 2^{40506022521600} is an apocalyptic number.

40506022521600 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 40506022521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66844644335616).

40506022521600 is an abundant number, since it is smaller than the sum of its proper divisors (93183266149632).

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

40506022521600 is a wasteful number, since it uses less digits than its factorization.

40506022521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173243 (or 173224 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 40506022521600 in words is "forty trillion, five hundred six billion, twenty-two million, five hundred twenty-one thousand, six hundred".