40761676800 has 792 divisors, whose sum is σ = 162612369920. Its totient is φ = 9687859200.

The previous prime is 40761676783. The next prime is 40761676801. The reversal of 40761676800 is 867616704.

40761676800 is a `hidden beast` number, since 407 + 6 + 167 + 6 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40761676801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92850981 + ... + 92851419.

Almost surely, 2^40761676800 is an apocalyptic number.

40761676800 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 40761676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81306184960).

40761676800 is an abundant number, since it is smaller than the sum of its proper divisors (121850693120).

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

40761676800 is a wasteful number, since it uses less digits than its factorization.

40761676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

It can be divided in two parts, 407616 and 76800, that added together give a square (484416 = 696²).

The spelling of 40761676800 in words is "forty billion, seven hundred sixty-one million, six hundred seventy-six thousand, eight hundred".