40461926400 has 720 divisors, whose sum is σ = 169030290000. Its totient is φ = 9248440320.

The previous prime is 40461926363. The next prime is 40461926431. The reversal of 40461926400 is 462916404.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40461926400 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 1 + 9 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5780275197 + ... + 5780275203.

Almost surely, 2^40461926400 is an apocalyptic number.

40461926400 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 40461926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84515145000).

40461926400 is an abundant number, since it is smaller than the sum of its proper divisors (128568363600).

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

40461926400 is an frugal number, since it uses more digits than its factorization.

40461926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40461926400 in words is "forty billion, four hundred sixty-one million, nine hundred twenty-six thousand, four hundred".