40764578400 has 1440 divisors, whose sum is σ = 189715857408. Its totient is φ = 8286105600.

The previous prime is 40764578399. The next prime is 40764578423. The reversal of 40764578400 is 487546704.

40764578400 is a `hidden beast` number, since 4 + 0 + 76 + 4 + 578 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 182800689 + ... + 182800911.

Almost surely, 2^40764578400 is an apocalyptic number.

40764578400 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 40764578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94857928704).

40764578400 is an abundant number, since it is smaller than the sum of its proper divisors (148951279008).

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

40764578400 is a wasteful number, since it uses less digits than its factorization.

40764578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 40764578400 in words is "forty billion, seven hundred sixty-four million, five hundred seventy-eight thousand, four hundred".