40672540800 has 384 divisors, whose sum is σ = 157611787200. Its totient is φ = 10207641600.

The previous prime is 40672540781. The next prime is 40672540847. The reversal of 40672540800 is 804527604.

40672540800 is a `hidden beast` number, since 40 + 6 + 72 + 540 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454955 + ... + 1482645.

Almost surely, 2^40672540800 is an apocalyptic number.

40672540800 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 40672540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78805893600).

40672540800 is an abundant number, since it is smaller than the sum of its proper divisors (116939246400).

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

40672540800 is a wasteful number, since it uses less digits than its factorization.

40672540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27741 (or 27718 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40672540800 in words is "forty billion, six hundred seventy-two million, five hundred forty thousand, eight hundred".