40546669363200 has 4896 divisors, whose sum is σ = 202753859922432. Its totient is φ = 7474249728000.

The previous prime is 40546669363157. The next prime is 40546669363201. The reversal of 40546669363200 is 236396664504.

It is a super-2 number, since 2×40546669363200² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40546669363201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 605174169567 + ... + 605174169633.

It is an arithmetic number, because the mean of its divisors is an integer number (41412144592).

Almost surely, 2^{40546669363200} is an apocalyptic number.

40546669363200 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 40546669363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101376929961216).

40546669363200 is an abundant number, since it is smaller than the sum of its proper divisors (162207190559232).

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

40546669363200 is a wasteful number, since it uses less digits than its factorization.

40546669363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 40546669363200 in words is "forty trillion, five hundred forty-six billion, six hundred sixty-nine million, three hundred sixty-three thousand, two hundred".