40995544867200 has 4608 divisors, whose sum is σ = 199739644416000. Its totient is φ = 8109932544000.

The previous prime is 40995544867171. The next prime is 40995544867223. The reversal of 40995544867200 is 276844559904.

40995544867200 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 5 + 544 + 8 + 67 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 105387004606 + ... + 105387004994.

It is an arithmetic number, because the mean of its divisors is an integer number (43346277000).

Almost surely, 2^{40995544867200} is an apocalyptic number.

40995544867200 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 40995544867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99869822208000).

40995544867200 is an abundant number, since it is smaller than the sum of its proper divisors (158744099548800).

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

40995544867200 is a wasteful number, since it uses less digits than its factorization.

40995544867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 40995544867200 in words is "forty trillion, nine hundred ninety-five billion, five hundred forty-four million, eight hundred sixty-seven thousand, two hundred".