40109644800 has 990 divisors, whose sum is σ = 160507120488. Its totient is φ = 9878077440.

The previous prime is 40109644789. The next prime is 40109644831. The reversal of 40109644800 is 844690104.

It is a happy number.

40109644800 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 9 + 644 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1383091186 + ... + 1383091214.

Almost surely, 2^40109644800 is an apocalyptic number.

40109644800 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 40109644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80253560244).

40109644800 is an abundant number, since it is smaller than the sum of its proper divisors (120397475688).

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

40109644800 is a wasteful number, since it uses less digits than its factorization.

40109644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 40109644800 in words is "forty billion, one hundred nine million, six hundred forty-four thousand, eight hundred".