40216625971200 has 4608 divisors, whose sum is σ = 189311216640000. Its totient is φ = 8427641241600.

The previous prime is 40216625971163. The next prime is 40216625971381. The reversal of 40216625971200 is 217952661204.

40216625971200 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 6 + 625 + 9 + 7 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1297310515185 + ... + 1297310515215.

Almost surely, 2^{40216625971200} is an apocalyptic number.

40216625971200 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 40216625971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94655608320000).

40216625971200 is an abundant number, since it is smaller than the sum of its proper divisors (149094590668800).

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

40216625971200 is an frugal number, since it uses more digits than its factorization.

40216625971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40216625971200 in words is "forty trillion, two hundred sixteen billion, six hundred twenty-five million, nine hundred seventy-one thousand, two hundred".