40876681784400 has 2700 divisors, whose sum is σ = 198629023233564. Its totient is φ = 7993578700800.

The previous prime is 40876681784329. The next prime is 40876681784413. The reversal of 40876681784400 is 448718667804.

40876681784400 is a `hidden beast` number, since 4 + 0 + 8 + 76 + 6 + 81 + 7 + 84 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2972810465856 + 37903871318544 = 1724184^2 + 6156612^2 .

It is a tau number, because it is divible by the number of its divisors (2700).

It is a super-2 number, since 2×40876681784400² (a number of 28 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 3265686942 + ... + 3265699458.

Almost surely, 2^{40876681784400} is an apocalyptic number.

40876681784400 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 40876681784400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99314511616782).

40876681784400 is an abundant number, since it is smaller than the sum of its proper divisors (157752341449164).

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

40876681784400 is a wasteful number, since it uses less digits than its factorization.

40876681784400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12600 (or 12562 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 40876681784400 in words is "forty trillion, eight hundred seventy-six billion, six hundred eighty-one million, seven hundred eighty-four thousand, four hundred".